Stevens Institute of TechnologyCenter for Innovation in Engineering

and Science Education

Presents:Engineering & Mathematics in Middle

Schools: Building Math

Presenter: Dr. Diane Carluccio Mathematics Professional Development Specialist Email: diane.carluccio@stevens.edu

Goal

To Preview the Building

Math Materials

Engineering & Math Engineering & Math in Middle Schoolsin Middle Schools

Building Math: Integrating Algebra and Engineering Design

By Peter Wong

National Center for Technological Literacy

Museum of Science

Building Math Materials Goals

• to familiarize middle school teachers with standards-based activities that integrate algebra and technology using a hands-on, problem solving, and cooperative learning approach.

• to familiarize teachers and students with the Engineering Design Process

Overview of Program

• Three Design Challenge Units

- Each unit has three activities

- Each unit takes about

three weeks to complete

• Correlated to the NCTM Standards

Building Math Pedagogical Approach, Goals and Methods

• Conceptual learning – story line based on real-life situations.

• Peer-based learning – students work together throughout the design process.

• Activity-based practice - students experiment, investigate, measure, build models, and analyze results.

Building Math Skills

• Relevant Math Skills: – collecting data,

– measuring, – accounting for error and imprecision of tools, – building confidence in data by doing repeated trials and taking

appropriate averages,– representing data, – making graphs, and – understanding/analyzing graphs

• Possible Science Connections: heat transfer, static forces, gravity, velocity, acceleration, public health, materials science, food chain, water pollution

8-Step Engineering Design Process (EDP)

1. Define – the problem

2. Research – the problem

3. Brainstorm – possible solutions

4. Choose – the best solution

5. Build – a model or prototype

6. Test – your solution

7. Communicate – your solution

8. Redesign – as needed

Engineering Design Process

Matching Exercise

Amazon Mission

Real-Life Situations

Define the Problem

Define the Problem

Graph with Temperature Constraints

Quantitative TestingUsing Graphing Calculators and Temperature Probes

Collected Data

 

Material 0 sec 10 sec

20 sec

30 sec

40 sec

50 sec

60 sec

               

Bare hands 59º 63º 80º 82º 84º 85º 86º

Corrugated board 59º 64º 69º 70º 75º 77º 79º

Form board 59º 62º 65º 68º 70º 72º 74º

Bubble wrap 59º 66º 71º 75º 77º 79º 81º

Aluminum foil 59º 84º 87º 88º 88º 88º 88º

   

Temperature (ºF) on Thermometer

Informed Design (Factors Students Must Consider)

• Good Insulator

• Low Cost

• Rugged and Protective

Permutations

• Combine Different Materials

• Determine the Best Insulator

• Graph Results

C

Communicate - Share Results

• Each Group Will Share Their Findings/Graphs

Utilize Research Data

• Brainstorm Possible Solutions

Considerations

Design Carrier/Draw Net

1. Draw a 3-D Design and Net of your carrier

2.Label the materials and the dimensions of your carrier

3. Show a cross section of the carrier to show the order of materials

you are layering

Wrap-Up

• Engaged in standards-based materials

• Used graphing calculators and probes to collect data

• Designed a three dimensional medicine carrier and it’s net

• Labeled dimensions of a scale model of the medicine carrier