Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities...

28
© 2008 University of Minnesota International Foods Model‐Eliciting Activity 1 Topic Mathematical Connections and Problem Solving Key Question How do you create a schedule for the efficient preparation of dishes in an international buffet? Learning Goals Students will: Use information from a table to create the most time-efficient schedule Make decisions about whether or not a solution meets the needs of a client Communicate the solution clearly to the client Guiding Documents This activity has the potential to address these and other mathematics and science standards, as well as address engineering principles. Grades 9 -12 NCTM Mathematics Standards Numbers and Operations: Use number-theory arguments to justify relationships involving whole numbers. Judge the effects of such operations as multiplication, division, and computing powers and roots on the magnitudes of quantities. Develop fluency in operations with real numbers, vectors, and matrices, using mental computation or paper-and-pencil calculations for simple cases and technology for more-complicated cases. Judge the reasonableness of numerical computations and their results. Algebra Use symbolic algebra to represent and explain mathematical relationships Identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships; Draw reasonable conclusions about a situation being modeled. Geometry Analyze properties and determine attributes of two- and three- dimensional objects; Visualize three-dimensional objects and spaces from different perspectives; Use geometric models to gain insights into, and answer questions in, other disciplines and other areas of interest such as art and architecture. Measurement Make decisions about units and scales that are appropriate for problem situations involving measurement. Use unit analysis to check measurement computations. Problem Solving Build new mathematical knowledge through problem solving; Solve problems that arise in mathematics and in other contexts; Apply and adapt a variety of appropriate strategies to solve problems; Monitor and reflect on the process of mathematical problem solving. Reasoning and Proof Select and use various types of reasoning and methods of proof. Communication Organize and consolidate their mathematical thinking through communication; Communicate their mathematical thinking coherently and clearly to peers, teachers, and others; Analyze and evaluate the mathematical thinking and strategies of others; Use the language of mathematics to express mathematical ideas precisely. Connections Recognize and use connections among mathematical ideas; Understand how mathematical ideas interconnect and build on one another to produce a coherent whole; Recognize and apply mathematics in contexts outside of mathematics. Representation Create and use representations to organize, record, and communicate mathematical ideas; Select, apply, and translate among mathematical representations to solve problems; Use representations to model and interpret physical, social, and mathematical phenomena.

Transcript of Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities...

Page 1: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

 

© 2008 University of Minnesota                   International Foods Model‐Eliciting Activity    1 

 Topic Mathematical Connections and Problem Solving Key Question How do you create a schedule for the efficient preparation of dishes in an international buffet? Learning Goals Students will: • Use information from a table to create the most

time-efficient schedule • Make decisions about whether or not a solution

meets the needs of a client • Communicate the solution clearly to the client Guiding Documents This activity has the potential to address these and other mathematics and science standards, as well as address engineering principles. Grades 9 -12 NCTM Mathematics Standards Numbers and Operations: • Use number-theory arguments to justify relationships

involving whole numbers. • Judge the effects of such operations as multiplication,

division, and computing powers and roots on the magnitudes of quantities.

• Develop fluency in operations with real numbers, vectors, and matrices, using mental computation or paper-and-pencil calculations for simple cases and technology for more-complicated cases.

• Judge the reasonableness of numerical computations and their results.

Algebra • Use symbolic algebra to represent and explain

mathematical relationships • Identify essential quantitative relationships in a

situation and determine the class or classes of functions that might model the relationships;

• Draw reasonable conclusions about a situation being modeled.

Geometry • Analyze properties and determine attributes of two-

and three- dimensional objects; • Visualize three-dimensional objects and spaces from

different perspectives; • Use geometric models to gain insights into, and

answer questions in, other disciplines and other areas of interest such as art and architecture.

Measurement • Make decisions about units and scales that are

appropriate for problem situations involving measurement.

• Use unit analysis to check measurement computations.

Problem Solving • Build new mathematical knowledge through problem

solving; • Solve problems that arise in mathematics and in other

contexts; • Apply and adapt a variety of appropriate strategies to

solve problems; • Monitor and reflect on the process of mathematical

problem solving. Reasoning and Proof

• Select and use various types of reasoning and methods of proof.

Communication • Organize and consolidate their mathematical

thinking through communication; • Communicate their mathematical thinking

coherently and clearly to peers, teachers, and others;

• Analyze and evaluate the mathematical thinking and strategies of others;

• Use the language of mathematics to express mathematical ideas precisely.

Connections • Recognize and use connections among

mathematical ideas; • Understand how mathematical ideas interconnect

and build on one another to produce a coherent whole;

• Recognize and apply mathematics in contexts outside of mathematics.

Representation • Create and use representations to organize, record,

and communicate mathematical ideas; • Select, apply, and translate among mathematical

representations to solve problems; • Use representations to model and interpret physical,

social, and mathematical phenomena.

Page 2: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  2 

Recommended supplies for all MEAs It is recommended to have all of these supplies in a central location in the room. It is recommended to let the students know that they are available, but not to encourage them to use anything in particular. • Overhead transparencies and transparency

markers/pens • Calculators • Rulers, scissors, tape • Markers, colored pencils, pencils • Construction paper, graph paper, lined paper • Paper towels or tissues (for cleaning

transparencies) • Manila folders or paper clips for collecting the

students’ work • Optional: Computers with programs such as

Microsoft Word and Excel What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help students develop conceptual foundations for deeper and higher order ideas in mathematics, science, engineering, and other disciplines. Each task asks students to mathematically interpret a complex real-world situation and requires the formation of a mathematical description, procedure, or method for the purpose of making a decision for a realistic client. Because teams of students are producing a description, procedure, or method (instead of a one-word or one-number answer), students’ solutions to the task reveal explicitly how they are thinking about the given situation.

The International Foods MEA consists of four components: 1) Newspaper article: Students individually read the newspaper article to become familiar with the context of the problem. This handout is on page 6. 2) Readiness questions: Students individually answer these reading comprehension questions about the newspaper article to become even more familiar with the context and beginning thinking about the problem. This handout is on page 7. 3) Problem statement: In teams of three or four, students work on the problem statement for 45 – 90 minutes. This time range depends on the amount of self-reflection and revision you want the students to do. It can be shorter if you are looking for students’ first thoughts, and can be longer if you expect a polished solution and well-written letter. The handouts are on pages 8-10. Each team needs the handouts on pages 8-9. There is a follow-up question on page 10 to help students extend their knowledge to a different situation or plan to implement this meal in a Foods classroom. You may wish to hand out the recipes on pages 11-for the follow-up question. 4) Process of sharing solutions: Each team writes their solution in a letter or memo to the client. Then, each team presents their solution to the class. Whole class discussion is intermingled with these presentations to discuss the different solutions, the mathematics involved, and the effectiveness of the different solutions in meeting the needs of the client. In totality, each case study takes approximately 3-5 class periods to implement, but can be shortened by having students do the individual work during out-of-class time. The Presentation Form can be useful and is explained on page 5 and found on page 12.

Page 3: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  3 

Recommended Progression of the MEA Preparation activity: It is useful to prepare the students to work on the International Foods MEA by discussing what the tasks that a catering company might have to do to be a successful company. It may also be useful to read and discuss Moroccan culture and the traditions associated with Moroccan meals (resources on page 27). Newspaper Article and Readiness Questions: The purpose of the newspaper article and the readiness questions is to introduce the students to the context of the problem. Depending on the grade level and/or your instructional purposes, you may want to use a more teacher-directed format or a more student-directed format for going through the article and the questions. Some possibilities include:

a. More teacher-directed (½ hour): Read the article to the students and give them class time to complete the readiness questions individually. Then, discuss as a class the answers to the readiness questions before beginning work on the problem statement. This approach also works well when you can team with a language arts teacher, and they can go through the article in their class. b. More student-directed (10 minutes): Give the article and the questions to the students the day before for homework. If you wish, you may provide some class time for the students to complete the article and questions. Then, on the day of the case study, discuss as a class the answers to the readiness questions before beginning work on the problem statement. c. More student-directed (10-15 minutes): Give the article and the questions to the students in their teams right before the students begin working on the problem statement. The students answer the questions as a team and then proceed to work on the problem statement.

Working on the Problem Statement (45-90 minutes): Place the students in teams of three or four. If

you already use teams in your classroom, it is best if you continue with these same teams since results for MEAs are better when the students have already developed a working relationship with their team members. If you do not use teams in your classroom and classroom management is an issue, the teacher may form the teams. If classroom management is not an issue, the students may form their own teams. You may want to have the students choose a name for their team to promote unity. Encourage (but don’t require or assign) the students to select roles such as timer, collector of supplies, writer of letter, etc. Remind the students that they should share the work of solving the problem. Present the students with the problem statement. Depending on the students’ grade level and previous experience with MEAs, you may want to read the problem statement to the students and then identify as a class: a) the client that the students are working for and b) the product that the students are being asked to produce. Once you have addressed the points above, allow the students to work on the problem statement.

Teachers’ role: As they work, your role should be one of a facilitator and observer. Avoid questions or comments that steer the students toward a particular solution. Try to answer their questions with questions so that the student teams figure out their own issues. Also during this time, try to get a sense of how the students are solving the problem so that you can ask them questions about their solutions during their presentations.

Presentations of Solutions (30-45 minutes): The teams present their solutions to the class. There are several options of how you do this. Doing this electronically or assigning students to give feedback as out-of-class work can lessen the time spent on presentations. If you choose to do this in class, which offers the chance for the richest discussions, the following are

Page 4: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  4 

recommendations for implementation. Each presentation typically takes 3 – 5 minutes. You may want to limit the number of presentations to five or six or limit the number of presentations to the number of original (or significantly different) solutions to the MEA. Before beginning the presentations, encourage the other students to not only listen to the other teams’ presentations but also to a) try to understand the other teams’ solutions and b) consider how well these other solutions meet the needs of the client. You may want to offer points to students that ask ‘good’ questions of the other teams, or you may want students to complete a reflection page (explanation – page 5, form – page 13) in which they explain how they would revise their solution after hearing about the other solutions. As students offer their presentations and ask questions, whole class discussions should be intermixed with the presentations in order to address conflicts or differences in solutions. When the presentations are over, collect the student teams’ memos/letters, presentation overheads, and any other work you would like to look over or assess. Assessment of Students’ Work You can decide if you wish to evaluate the students’ work. If you decide to do so, you may find the following Assessment Guide Rubric helpful: Performance Level Effectiveness: Does the solution meet the client’s needs? Requires redirection: The product is on the wrong track. Working longer or harder with this approach will not work. The students may need additional feedback from the teacher. Requires major extensions or refinements: The product is a good start toward meeting the client’s needs, but a lot more work is needed to respond to all of the issues.

Requires only minor editing: The product is nearly ready for the client to use. It still needs a few small modifications, additions, or refinements. Useful for this specific situation: No changes are necessary to meet the client’s immediate needs. Share-able or re-usable: The tool not only works for the immediate solution, but it would be easy for others to modify and use in similar situations. OR The solution goes above and beyond meeting the immediate needs of the client.

Note: If you use this Assessment Guide Rubric for grading purposes, please keep in mind that a performance level of “requires only minor editing” or higher indicates a satisfactory solution. For example, you may want to assign a grade of B for “requires only minor editing”, while assigning an A for the next two higher levels. If you give a written score or letter grade after assessing the students’ work, we encourage you to provide the students with an explanation (i.e. written comments) as to why they received that score and/or how their solution could be improved. In particular, we found it helpful to phrase the feedback as if it was coming from the client of the problem. So for example, in the paper airplane problem, the client is a set of judges that are going to devise a judging system for a paper airplane contest that fairly judges the most accurate plane and the best floater, and feedback to the students could include statements such as the following: "We understand how you would judge the four planes that were presented in this contest, but we need more information from you about how we are going to apply your procedure when the planes are different and have different attributes."

 

Page 5: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  5 

Implementing an MEA with Students for the First Time You may want to let students know the following about MEAs: • MEAs are longer problems; there are no

immediate answers. Instead, students should expect to work on the problem and gradually revise their solution over a period of 45 minutes to an hour.

• MEAs often have more than one solution or one way of thinking about the problem.

• Let the students know ahead of time that they will be presenting their solutions to the class. Tell them to prepare for a 3-5 minute presentation, and that they may use overhead transparencies or other visuals during their presentation.

• Let the students know that you won’t be answering questions such as “Is this the right way to do it?” or “Are we done yet?” You can tell them that you will answer clarification questions, but that you will not guide them through the MEA.

• Remind students to make sure that they have returned to the problem statement to verify that they have fully answered the question.

• If students struggle with writing the letter, encourage them to read the letter out loud to each other. This usually helps them identify omissions and errors.

Observing Students as They Work on the International Foods MEA You may find the Observation Form (page 11) useful for making notes about one or more of your teams of students as they work on the MEA. We have found that the form could be filled out “real-time” as you observe the students working or sometime shortly after you observe the students. The form can be used to record observations about what concepts the students are using, how they are interacting as a team,

how they are organizing the data, what tools they use, what revisions to their solutions they may make, and any other miscellaneous comments. Presentation Form (Optional) As the teams of students present their solutions to the class, you may find it helpful to have each student complete the presentation form on page 12. This form asks students to evaluate and provide feedback about the solutions of at least two teams. It also asks students to consider how they would revise their own solution to the International Foods MEA after hearing of the other teams’ solutions. Student Reflection Form (Optional) You may find the Student Reflection Form (page 13) useful for concluding the MEA with the students. The form is a debriefing tool, and it asks students to consider the concepts that they used in solving the MEA and to consider how they would revise their previous solution after hearing of all the different solutions presented by the various teams. Students typically fill out this form after the team presentations. Sometimes students find question #2 confusing, so using this question is optional. Follow-Up Activities (Optional) Included are several follow-up activities that may extend the activity beyond the MEA. First, the Model eXtension Activity on page 10 allows students to think through another situation in a catering kitchen in which scheduling becomes important. It also serves the purpose of allowing students to prepare for the actual creation of the meal in the classroom, the second follow-up activity included. You will find student planning sheets and recipes included in the teaching materials on pages 14 – 26.

Page 6: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  6 

International Dinner Party for Today’s Busy Families  

Each year, the Thompson’s have an annual dinner party featuring one world region or country.  Last year, they featured traditional French cuisine.  This year, they are going to focus on an African country: Morocco. A hostess in Morocco might take a week to prepare a suitable dinner for her honored guests. The meal often consists of as many as fifty courses. It would take a full day just to make Bstilla‐ a crisp pastry, rolled as thin as tissue paper, filled with chicken in a mixture "sweet and peppery, soft and violent." 

 

Food and Family Caterers specializes in providing food for family gatherings, holidays, and other parties.  Many families these days are too busy in the days before a big party to shop and get things ready. Also, they would like to spend more time enjoying the company of their guests rather than cooking in a hot kitchen. Food and Family has made things very simple and can help out on a variety of levels. They can provide everything for the whole meal hot and ready at your door on the day of the event or you can pick up dishes the day before to heat up yourself. They have a wide variety of dishes available including 

all the standard holiday favorites like mashed potatoes, stuffing, vegetables, pies and turkey. They also have some new items that your family might like to make a new holiday tradition including many vegetarian dishes and low‐fat, low‐cholestoral dishes for the health conscious. In addition, they have a wide variety of international dishes, like those that the Thompson’s plan to order for their 15 guests.   

 

Food and Family also has cooks they can send to your home to take care of everything while you relax and visit with friends and family. “It takes a lot of planning and organization to make sure we can satisfy our customers, but making people happy makes it worth it,” said Jane Christie, owner of Food and Family Caterers. 

Food and Family Caterers does catering service year round and is available for holiday parties, New Year’s Eve parties, and any other celebration where you might like a little help with the food. They can cater for 4 to 400 people. They also work with other local businesses like Eva’s Flowers and the Joanne’s Party and Gift so you can complete your event with flowers, decorations and other party needs.  

Page 7: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  7 

   

 

Readiness Questions  

1. How many people are expected to have dinner at the Thompson’s house?  

 

 

2. Why did the Thompson family decide to use a catering service for this party?  

 

 

3. What kinds of food does the catering service offer?  

 

 

 

4. What other reasons might someone hire a catering service to bring in food?  

 

 

 

5. When are other times there might be a lot of people eating dinner together?  

 

 

 

Page 8: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  8 

The Problem  

 

Mrs. Thompson is trying to host about 15 people for her Moroccan dinner.  Since this meal is so extensive and she doesn’t have the necessary time to make it, she has hired the caterers to do the work. They will come to the house to cook everything, but they have some other dinners to prepare that day so they need to keep a tight schedule or they will be late for the next job.  They will send 2 people to the house to fix dinner. Construct a 

schedule and plan that will enable the caterers to finish all of the food by 6:20 so the Thompson’s can eat by 6:30.  This plan should include the following components: 

• When to arrive and begin cooking • When to start each dish • Which person will work on each dish • What temperature to set each oven • Which oven or burner to use for each dish • Make sure to take into consideration how 

many pans will fit on each rack of the oven.   

Secondly, the managers at the catering company have asked you to help them create a manual for making these decisions in the future.  Write a letter to the 

managers, describing how you created your schedule so the caterers can create a new schedule for another big dinner party. 

The table on the following page shows the dishes that need to be prepared, how many of each dish will be made, how long it takes to prepare the dish, how the dish is cooked and at what temperature, and how long it takes to cook. Note that some items don’t need to be cooked (for example Melon a la Morocaine) so there is no cook time, just time for preparation. Also, some dishes need to be hot when they are served.  

The Thompson’s have two ovens, four burners on the stovetop, and a microwave.  Each oven has two racks each, which are 22” wide and 18” deep.   Standard pan sizes are shown below.  The four burners can each accommodate one pot at a time.  However, two of the burners are smaller than the others and so cooking times may be longer on these two burners.  The two larger burners are 10” in diameter, while the two smaller burners are each 7” in diameter.  

 Cookie sheets: 12” x 18” or 18” x 22” Baking pans: 8” x 8”, 9” x 9”, 9” x 13” Skillets: 8”, 9”, 10”, or 12” in diameter

Page 9: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

 

© 2008 University of Minnesota                   International Foods Model‐Eliciting Activity    9 

 

Dish  # of Batches 

Size of Pan Needed 

Time to Prepare Each Batch 

How to Cook 

Temp. for Recipe 

Time to Cook 

Kebob Koutbane 

2  8 x 10 baking dish 

30 minutes + 4 hours marinade 

Oven  Broil  30 minutes 

Couscous Marrakesh 

1  6 quart pot 

45 minutes  Stovetop  High   1.5 hours 

Khubz (flat bread) 

2 pans  Cookie sheet 

20 minutes + 3 hrs to rise 

Oven  500o  5‐8 minutes 

Batinjaan Zalud (Eggplant Salad) 

2   10” skillet 

30 minutes  Stovetop/ Refrigerator 

High  10 minutes + 2 hrs to chill 

Moroccan Coconut Cakes 

2 pans  2 quart sauce‐pan 

10 minutes  Stovetop/ Refrigerator 

Heat to 238o 

10 minutes + 3 hrs to chill 

Melon a la Morocaine 

2 dishes  None  15 minutes  None  None  None 

Peasant Pancakes 

2 pans  9” skillet 

20 minutes  Stovetop  High  30 minutes 

Roast Lamb and Carrots with Chickpea Puree 

2 batches  Cookie sheet 

25 minutes  Oven  450o  15 – 20 minutes 

Pomegranate‐glazed carrots 

2 batches  10” skillet 

15 minutes  Stovetop  Moderate Heat 

30 minutes 

Roasted Beets with Cumin 

1 pan  Cookie sheet 

15 minutes  Oven  425o  1.5 hours 

Mint Tea  2 pots  Teapot   5 minutes  Stovetop  High  5 minutes 

 

Page 10: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

 

© 2008 University of Minnesota    10 

Model Extension Activity – International Foods MEA

Another catering company, Alice’s Kitchen, has received a similar job, and has agreed to prepare a similar meal with similar cooking times. However, unlike Food and Family Caterers, they are preparing the meal in their catering kitchens and then delivering the meal to the family who has hired them. They have 29 staff members, with 5

independent kitchens. Each kitchen is equipped with a microwave, an oven, and a 4-burner stove. They have 4 other meals to prepare that day, so they need to make the meal in as short a time as possible so that the five kitchens can be used for creating the other meals. The manager must determine the best way to divide up the recipes among the staff so that the meal can be prepared in the least amount of total time and so that each staff member has an equitable amount of work. Using the recipe information from the previous problem, design a plan that she could use.

 

Page 11: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  11 

OBSERVATION FORM ‐ International Foods MEA  Team: _______________________________________   Math Concepts Used:  What mathematical concepts and skills did the students use to solve the problem?     Team Interactions:  How did the students interact within their team or share insights with each other?      Data Organization & Problem Perspective:  How did the students organize the problem data? How did the students interpret the task? What perspective did they take?      Tools:  What tools did the students use? How did they use these tools?        Miscellaneous Comments about the team functionality or the problem:      Cycles of Assessment & Justification:  How did the students question their problem‐solving processes and their results? How did they justify their assumptions and results? What cycles did they go through? 

 

Page 12: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  12 

PRESENTATION FORM – International Foods MEA 

Name________________________________________________ 

While the presentations are happening, choose TWO teams to evaluate. Look for things that you like about their solution and/or things that you would change in their solution.  You are not evaluating their style of presenting. For example, don’t write, “They should have organized their presentation better.” Evaluate their solution only. 

Team ___________________________________   

What I liked about their solution: 

 

 

What I didn’t like about their solution: 

 

 

Team ___________________________________  

What I liked about their solution: 

 

 

 What I didn’t like about their solution: 

 

 

After seeing the other presentations, how would you change your solution?  If you would not change your solution, give reasons why your solution does not need changes.  

 

Page 13: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  13 

STUDENT REFLECTION FORM – International Foods MEA   Name _________________________________ Date__________________________  1. Please mention the mathematical and scientific “big ideas” and skills (e.g. ratios, proportions, forces, etc.) you used in solving this activity       2. Think about how related these big ideas and skills are in your solution. In the space below, draw a map or a diagram of the big ideas and skills used in your solution, but arrange the ideas so that those ideas and skills that seem similar are close to each other and those that don’t seem related are far apart.           3. After solving this activity, circle the score that best describes how well you understand the mathematical and scientific ideas you used.  Not at all     A little bit     Some     Most of it     All of it   Explain why you feel that way:       4. How difficult do you think this activity was?  Circle your choice.  Easy          Little challenging   Somewhat challenging   Challenging    Very Difficult  Explain why you feel that way:      5. After seeing all of your classmates’ presentations, what do you think would be the best way for your client, the caterers, to schedule the meal preparation?  

 

Page 14: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  14 

 Kitchen Planning Form – International Foods MEA  

 For students’ use in planning the kitchen tasks and ordering food to actually complete the meal.    

Names: ________________________________    Hour: ___________________ 

               ________________________________    Name of Food: ________________________ 

  ________________________________    Serving Time: _________________________ 

  ________________________________    Begin Clean Up Time: ________________ 

  _________________________________    End Clean Up Time: __________________ 

 Preparation to do day ahead (if any): List the job and who will do it. 

1. __________________________________________________________________________________ 

2. ___________________________________________________________________________________ 

3. ___________________________________________________________________________________ 

4. ___________________________________________________________________________________ 

5. ___________________________________________________________________________________ 

Preparation to do the day of lab: List the job and who will do it. 

1. ___________________________________________________________________________________ 

2. ___________________________________________________________________________________ 

3. ___________________________________________________________________________________ 

4. ___________________________________________________________________________________ 

5. ___________________________________________________________________________________ 

Clean Up (Both Days if Needed):  

1. Wash dishes, wipe and dry sink: _____________________________________________________ 

2. Dry dishes, wipe cupboards___________________________________________________________ 

3. Put away dishes, wipe and dry range: _______________________________________________ 

4. Wipe counters, sink, and tables, sweep floor________________________________________ 

5. Written work: evaluation, costs ______________________________________________________ 

 

Page 15: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  15 

Kitchen Planning Form – International Foods MEA 

Market Order 

Item Amount Cost

 

 

Total Cost of Supplies:             

 

Cost per person: 

Page 16: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  16 

 Additional Resources – Recipes ­ International Foods MEA  

POMEGRANATE­GLAZED CARROTS 

The ubiquity of pomegranates in Morocco inspired food editor Maggie Ruggiero to add one nontraditional ingredient — pomegranate juice — to this very traditional meze; its tartness turns up the volume on all the flavors, and its color lends a beautiful mahogany sheen. 

Active time: 15 min 

Start to finish: 45 min 

 

Servings: Makes 6 servings. 

 

 

 

 

 

Ingredients 

1 tablespoon olive oil 

1 pound carrots, cut diagonally into 1/4‐inch‐thick slices 

1 cup pomegranate juice 

1 (3‐inch) cinnamon stick 

1/2 teaspoon salt 

1/8 teaspoon black pepper 

3/4 teaspoon coriander seeds, toasted and lightly crushed 

Preparation 

Heat oil in a 10‐inch heavy skillet over moderate heat until hot but not smoking. Add carrots and sauté, stirring occasionally, 5 minutes. Add pomegranate juice, cinnamon stick, salt, and pepper and simmer, uncovered, stirring occasionally, until carrots are tender and liquid is reduced to a glaze, 20 to 25 minutes. Add coriander seeds and cook, stirring, 1 minute. Discard cinnamon stick and serve carrots hot or at room temperature. 

 

 

Page 17: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  17 

ROASTED BEETS WITH CUMIN AND MINT 

Moroccan hospitality, always gracious, begins with mezes, the enticing little dishes set out to welcome guests before the meal. Cumin and mint are a classic combination, and they work particularly well with roasted beets — the cumin underlines their earthiness, and the mint freshens their undeniable sweetness. 

 

Active time: 15 min 

Start to finish: 1 3/4 hour 

 

Servings: Makes 6 servings. 

 

 

 

 

 

Ingredients 

1 tablespoon fresh lemon juice 

1 teaspoon cumin seeds, toasted and lightly crushed 

1/2 teaspoon salt 

1/4 teaspoon black pepper 

2 tablespoons extra‐virgin olive oil 

3 medium beets (1 1/4 pound total without greens), trimmed, leaving 1 inch of stems attached 

1/3 cup fresh mint, coarsely chopped Preparation 

Stir together lemon juice, cumin seeds, salt, and pepper in a medium bowl. Stir in oil and let stand while roasting beets. 

Put oven rack in middle position and preheat oven to 425°F. 

Tightly wrap beets in a double layer of foil and roast on a baking sheet until tender, 1 to 1 1/4 hours. Cool to warm in foil package, about 20 minutes. 

When beets are cool enough to handle, peel them, discarding stems and root ends, then cut into 1/2‐inch‐wide wedges. 

Toss warm beets with dressing. Stir in mint just before serving. 

Cooks' note: Beets can be roasted and tossed with dressing 4 hours ahead, then kept, covered, at room temperature. 

Page 18: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  18 

Moroccan­style lamb and carrots with chickpea purée 

Il Vino d'Enrico Bernardo, a wine‐centric Paris restaurant, features a delicious dish of lamb chops, carrots, and chickpeas with North African spices and black truffles. Skipping the truffles makes it more everyday, but it's still wonderful.

Active time: 20 min Start to finish: 35 min 

Servings: Makes 4 servings 

Ingredients for lamb chops and carrots: 

1/4 cup olive oil 

1 teaspoon ground allspice 

1/2 teaspoon cinnamon 

1/4 teaspoon cayenne 

6 medium carrots, halved crosswise and quartered lengthwise 

8 to 12 rib lamb chops (1/4 to 1/2 inch thick; 1 1/2 pounds total) 

 

Ingredients for chickpea purée: 

1 small garlic clove 

1 cup canned chickpeas, rinsed 

1/3 cup warm water 

1/4 teaspoon ground cumin 

1 tablespoon olive oil 

 

Preparation 

 

Roast lamb chops and carrots: 

Put a 4‐sided sheet pan in lower third of oven and preheat oven to 450°F. 

Whisk together oil, spices, and 1 teaspoon salt. Toss carrots with half of spiced oil and coat chops with remaining oil. Arrange chops and carrots side by side in hot sheet pan. Roast, turning and stirring halfway through, until carrots are just tender and chops are medium‐rare, 4 to 6 minutes total for lamb; 10 to 15 for carrots. 

Meanwhile, make chickpea purée: 

With food processor running, drop garlic through feed tube to finely chop. Add chickpeas, water, cumin, and 1/4 teaspoon salt and purée. With motor running, slowly add oil and blend until smooth. 

Serve lamb and carrots on a bed of chickpea purée. Drizzle with pan juices. 

Page 19: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  19 

KEBAB KOUTBANE 

      Appetizer Kebabs in a Moorish Marinade 

      Yield: 8 6‐inch kebabs 

This typically Moroccan dish is an excellent hors d'oeuvre to serve at any time. It is amazing how the small cubes of suet improve the flavor of the kebab after some of the fat has burned off. The use of suet is particularly effective when cooking kebabs over a charcoal fire and may be successfully substituted in recipes calling for bacon. 

 

Cut 1 Ib. FILLET OF BEEF OR STEAK into 3/4‐inch cubes (approximately 32 cubes). 

Cut 1/2 Ib. BEEF SUET into 1/2‐inch cubes. 

 

In an 8 x 10‐inch shallow baking dish, prepare the Moorish Marinade: 

Combine: 1/4 cup ONION, finely chopped and 

2 Tbs. PARSLEY, finely chopped. 

 

Blend: 1/2 cup OLIVE or SALAD OIL 

1 tsp. SALT 

1/4 tsp. PEPPER 

1/4 tsp. GARLIC POWDER 

1 tsp. GROUND CORIANDER (optional) 

1/2 tsp. GROUND CUMIN (optional). 

 

Blend the beef and suet cubes with the marinade and allow the mixture to marinate for several hours. 

Thread four pieces of beef alternately with three pieces of suet (start and end with beef) on a 6‐inch metal or bamboo skewer. 

Grill or Broil using a hot fire, basting occasionally with the marinade. 

Arrange 1 KEBAB KOUTBANE on a small plate. 

Garnish with TOMATO SLICES and PARSLEY SPRIGS at the side of the plate. 

Page 20: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  20 

COUSCOUS MARRAKESH 

      Yield: 8 portions 

A couscousiere is a large double boiler with holes in the bottom of the upper pot allowing its contents to steam. A couscousiere may be improvised by lining a metal colander with cheese cloth and placing the colander in a 6‐ or 8‐quart pot so that the handles rest on the rim. A piece of heavy‐ duty foil can serve as a lid. 

 

Moisten: 1 Ib. COUSCOUS in a 3 quart bowl with 

1 cup COLD WATER to which 

1 Tbs. SALT has been added. 

Stir up with a fork and allow to stand 10 minutes to swell. 

Spread the Couscous out in a colander lined with cheese cloth (or in the top of a couscousiere). 

Place the colander over a pan which fits it and is half filled with water. 

Cover with aluminum foil and allow to steam for 10 minutes. 

In a 6‐quart kettle (or bottom of couscousiere): 

Saute: 1 cup ONIONS coarsely chopped with 

1 tsp. CORIANDER (powdered) 

1 Tbs. SALT 

1 tsp. CRUSHED RED PEPPER 

1/2 tsp. SAFFRON 

1 tsp. POWDERED CUMIN SEED in 

1/4 cup PEANUT OIL until soft but not brown. 

 

Add: 2 1/2 Ibs. BONELESS LAMB cut in 2 inch chunks and 

2 quarts WATER. 

 

Fit the colander (or top of couscousiere) with the Couscous over the meat, cover it with foil, and allow mixture to simmer gently for 30 minutes. 

Add 1 3‐lb. CHICKEN cut into 8 pieces to the stew and continue cooking for 30 minutes longer. 

Stir the Couscous from time to time to make sure the grains are separated. 

 

Add to Stew: 1 Ib. CARROTS, scraped and cut in 1‐inch chunks 

2 GREEN PEPPERS, cut in 1/2‐inch strips 

1 Ib. FRESH TOMATOES, cut in 1‐inch wedges 

1 Ib. YELLOW SQUASH, peeled and cut in 2‐inch slices 

12 oz. FROZEN STRING BEANS (regular cut) or PEAS 

1 # 2 1/2 can CHICK PEAS, drained 

1/2 Ib. BLACK RAISINS. 

 

Correct the seasoning with salt and pepper. 

Cook for about 15 minutes or until vegetables are soft but still slightly crisp. 

Pour the Couscous into a large (15‐ to 18 inch) round serving platter. 

Make a large hole in the center, pushing the Couscous to the edge of platter. 

Arrange meat and vegetables attractively in center, pouring the sauce over all. 

Garnish with PARSLEY SPRIGS. 

Page 21: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  21 

BATINJAAN ZALUD (Eggplant Salad) 

      Yield: 8 small salads 

This Eggplant Salad may also be served as an appetizer. It is an excellent accompaniment to a Couscous, as it is to any of the great entrees of Morocco. Be sure that the salad is very cold when served. 

 

Peel 1 or 2 large EGGPLANTS (approx. 2 Ibs.). 

Cut into 1‐inch slices. 

In a 10‐inch skillet: 

Fry in 1/2 cup OLIVE or SALAD OIL until soft. 

Mash the eggplant. 

Add: 1/4 cup ONION finely chopped 

3 cloves GARLIC finely chopped (or 1 tsp. garlic powder) 

4 Tbs. LEMON JUICE 

1 tsp. SALT 

1/4 tsp. GROUND PEPPER 

1 Tbs. SUGAR, and blend thoroughly. 

 

Chill in refrigerator. 

 

Heap 1/2 cup EGGPLANT MIXTURE on a 6‐ to 7‐inch plate. 

Mash it down to form a circle within 1 inch of edge of plate. 

Dribble with 1/2 tsp. OLIVE OIL (if mixture appears dry). 

Place: 

1 slice TOMATO in center of circle and 

1 BLACK OLIVE in center of tomato. 

 

Garnish with PARSLEY SPRIGS. 

Page 22: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  22 

MINT TEA 

      Yield: 8 servings 

Into a 6 cup glass or china teapot: 

Pour boiling water, rinse and throw the water away. 

Put in: 3 heaping Tbs. OOLONG TEA (do not use teabags) 

2 heaping Tbs. DRIED MINT LEAVES 

1/2 cup SUGAR. 

 

Fill the teapot to the brim with BOILING WATER. 

 

Allow to steep covered for 5 minutes. 

Stir up the infusion and taste the liquid to see if it is sweet enough. 

Strain into juice glasses (5 to 6 oz.). 

Note: Prepare second infusion while the guests are enjoying the first. Add 1 tsp. tea, 1 tsp. mint and 2 Tbs. sugar to the pot. Add boiling water to allow to steep for 5 minutes. Stir again. Taste for sweetness. Strain to serve. 

Page 23: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  23 

MOROCCAN COCONUT CAKES 

 Yield: 1 1/2 Ibs. coconut fudge 

You may want to make Moroccan Coconut Cakes, a delicious sweetmeat much like coconut fudge. They are easy to make and ideal to serve later in the evening after the Moroccan dinner. 

 

In a 2‐quart saucepan: 

Combine: 2 cups GRATED COCONUT (moist, canned or fresh) 

3/4 cup EVAPORATED MILK 

2 cups SUGAR 

 

Simmer gently to 238' or until a soft ball is formed in cold water. 

Add: 1 oz. BUTTER and 

2 Tbs. LEMON RIND. 

Cool to room temperature in the pan. 

Beat as you would fudge until thick and glossy. 

Pour into a square (8 x 8‐inch) pan lined with wax paper. 

Chill and cut into 1‐inch squares. 

Page 24: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  24 

MELON A LA MOROCAINE 

 

Use any melon in season or watermelon but be certain that it is very ripe. 

 

Cut the melon into 1/2‐inch slices and remove the rind. 

Cut again into 3 inch pieces and arrange them attractively on a platter. 

Garnish the platter with sprigs of fresh mint or parsley. 

Spear the melon pieces with colored toothpicks. 

Pass the platter to your guests. No dishes are used with this course. 

Page 25: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  25 

PEASANT PANCAKES 

 Yield: 8 servings 

Here's another outstanding sweet of Morocco which you might want to serve instead of the honey pastries. 

 

In a 1‐pint bowl: 

Cut 4 BANANAS (peeled) in 1/2 inch slices. 

Add 1/2 cup APRICOT NECTAR and marinate for 1/2 hour. 

In a 1‐quart bowl: 

Place 1 cup PANCAKE MIX following package directions to make a thick pancake batter using the above liqueur drained from the bananas as part of the liquid. 

Add bananas to the batter and stir thoroughly. 

In a 9‐inch skillet: 

Heat 1/4 inch COOKING OIL. 

Drop the mixture by tablespoonfuls (2 or 3 pieces of banana in each spoon) into the hot fat until golden brown on both sides. 

In a 1‐pint bowl: 

Combine: 1/2 cup SOFT BREAD CRUMBS made by grating fresh bread 

3 Tbs. MELTED BUTTER 

4 Tbs. SUGAR 

1 tsp. GROUND GINGER. 

 

Place 3 or 4 PEASANT PANCAKES on dessert plates. 

Sprinkle 1 to 2 Tbs. CRUMB MIXTURE over the pancakes. 

 

Note: Crystallized ginger may be used instead of ground ginger, in which case use 2 Tbs. sugar and 2 Tbs. crystallized ginger, minced finely. 

Page 26: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  26 

 

Arabic Bread, Pita (Khubz 'Arabee)  

 

Ingredients 

1 tablespoon dried yeast ‐ one package  4 cups flour ‐ whole wheat 

1/2 teaspoon sugar   1 teaspoon salt 

1 1/2 cups warm water   1/2 tablespoon Olive oil 

 

Instructions for Arabic Bread, Pita (Khubz 'Arabee) 

Dissolve yeast and sugar in water and set aside for about 5 minutes. 

Add oil, salt and part of flour. Mix. Continue adding flour until dough is thick enough to knead. Knead dough until smooth and elastic, adding small amounts of flour as necessary. 

Place dough in a warm, oiled bowl, turning dough over to coat surface. Cover bowl with a dry cloth and set in a warm place, allowing dough to rise until double in volume (about 2‐3 hours. 

Punch dough down and knead for about 2 minutes. Form into smooth balls the size of small oranges, rolling them gently between the hands. Place balls on a dry cloth (lightly floured) in warm place; cover with another cloth and let rise for about 30 minutes. 

Preheat oven to 500F. On lightly floured board, roll balls one at a time into circles about inch thick. Spray cookie sheet lightly with oil. Bake the pitas 5 to 8 minutes on a preheated baking sheet with the oven rack at the center notch. 

The bread will puff up like a balloon during baking and will collapse when cooled. Loaves may be eaten immediately or frozen for long‐term storage. Warm frozen pitas briefly in the oven before serving. 

 

From: Classic Vegetarian Cooking from the Middle East & North Africa 

by Habeeb Salloum 

 

Makes about 8 medium (6 inch) pita, each contains an estimated: 

Cals: 216, FatCals: 18, TotFat: 2g 

SatFat: 0g, PolyFat: 1g, MonoFat: 1g 

Chol: 0mg, Na: 300mg, K: 273mg 

TotCarbs: 44g, Fiber: 8g, Sugars: 1g 

NetCarbs: 36g, Protein: 9g 

Page 27: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  27 

Additional Resources – Information about Morocco and Moraccan Foods 

Copied from: http://www.africa.upenn.edu/Cookbook/Morocco.html  

Morocco 

The cuisine of Morocco is rated among the best in the world, and rightly so. There are few places where food is more carefully and artistically prepared, more delightfully served, and more enjoyed than in this country. 

Cooking in Morocco falls into two specific categories. The first, intended for important guests, is the work of skilled chefs. It requires such intensive supervision that the host does not participate. He merely oversees the banquet with his sons and servants. No women are present. The men squat on mattresses or pillows around low, beautifully inlaid tables. A silver ewer of perfumed water is taken around and poured over three fingers of the right hand of each guest. 

The host claps his hands and the meal begins. One course after another‐ each delicacy is served until Chban‐ complete satiation‐ is achieved. Again the silver ewer filled with warm water is presented to clean the mouth, lips, and hands. The meal is a feast for the gods and indeed it begins and ends with Bsmillah‐‐God's blessing. 

In the second category of cookery are the wonderful dishes prepared with loving care by the mistresses‐ Dadas‐ of the homes. Here, where time does not seem to count, she spends hours with her glazed earthenware and copper cooking dishes and her kanoun, the movable clay brazier. Her kitchen is austere, and the charcoal which perfumes the kebabs and allows the sauces to simmer is the only source of heat. There are no chairs. A folded carpet serves as a seat. The Dada is dressed in a long colorful robe tucked up in front and her wide sleeves are held in place with a twisted cord. 

The scents of coriander, cumin, saffron, marjoram, and onion mingle with the pungency of olive oil and the sweetness of sandalwood, mint, and roses, delighting the senses. 

 

How a Dinner is Served in Morocco 

A hostess in Morocco might take a week to prepare a suitable dinner for her honored guests. The meal often consists of as many as fifty courses. It would take a full day just to make Bstilla‐ a crisp pastry, rolled as thin as tissue paper, filled with chicken in a mixture "sweet and peppery, soft and violent." 

The dinner starts with Bstilla, followed by the typical brochette or kebab flavored with bits of beef or lamb fat. Next comes the Tajine, chicken or meat in a spicy stew which has been simmered for many hours, and it is served with a flat bread called Khubz. 

In Morocco, as in most Arab lands, every household makes its own bread. It is made from semolina flour without shortening or milk. An invocation to God is made before commencing the sacred act of kneading. When the bread has been properly shaped, each family puts its own mark or stamp on it before sending it via the children to a common bakery oven. After the Tajine, a Batinjaan‐ eggplant salad or chopped tomato salad‐ is served as a separate course. Then comes Couscous, that marvelous Moroccan national dish made of semolina, cooked to perfection, each grain separate from the other. The dinner is completed with slices or wedges of peeled melon, pastries made with honey and almond like the Middle Eastern Baklava, and finally a small glass of mint tea. The dinner following is a very much simplified version, but it is delicious and will give you the "feel" of Morocco. Once you have made the Couscous, it may very well become one of your favorite dishes. This is a delightful dinner to prepare and serve. 

 

 

 

Page 28: Topic Mathematical Connections and Problem Solving … · What are Model Eliciting Activities (MEAs)? Model-Eliciting Activities are problem activities explicitly designed to help

01/09/2009  

© 2008 University of Minnesota                International Foods Model‐Eliciting Activity  28 

How You Can Present a Moroccan Dinner 

 

If feasible, use a low table with cushions on the floor. (Be sure to advise your guests to dress comfortably.) Cover the low table with a bright brocaded cloth and provide your guests with thick towels to cover their knees. You might want to place floral bouquets around the room, but do not have a centerpiece on the table. 

Before serving the dinner, walk around the table with an attractive pitcher (silver if possible) filled with warm water which has been scented with cologne or a few drops of perfume. Carry a Turkish towel over your left arm and a small basin in your left hand. Pour a little water over the fingers of each guest, catching the water in the small basin. 

Serve tiny kebabs first (with or without a fork) on small plates. As soon as the kebabs have been eaten, remove the plates. The salad may be served as a separate course or may accompany the Couscous. If you serve it separately place the salad (with a fork) in front of each guest. In Morocco, the Couscous is served in a large platter and each guest eats directly from it with a large spoon or he may roll the Couscous up in little balls and pop them into his mouth, but don't expect your guests to do this. You may prefer to place extra plates in front of your guests and ask them to serve themselves. 

Slices of melon, watermelon, or cantaloupe speared with toothpicks (no plates) are served in a platter right after the Couscous. You might also serve the mint tea at this time, or wait until later to serve it with the honey pastries. 

Again the hostess pours water over the fingers of her guests. This is a mark of graciousness and hospitality. At the end of the meal, after tea has been served, bring in a tiny incense burner and light it on the table.