Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education...

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Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Transcript of Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education...

Page 1: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Mathematics is 50% formulas, 50% proofs, and 50% imagination!

Major Issues in Mathematics Education

Presented by Derrick W. Smith, Ed.D., COMS®

Page 2: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Draw a Mathematician

Page 3: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Draw a Math Teacher

Page 4: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Fact or Fiction?1. Men are better at

mathematics than women.2. Math requires logic, not

intuition.3. You must always know how

you got your answer.4. Math is not creative.5. There is a best way to do a

math problem.6. It's always important to get

the answer exactly right.

7. It's bad to count on your fingers.

8. Mathematicians do problems quickly, in their heads.

9. Math requires a good memory.

10. Math is done by working intensely until the problem is solved.

11. Some people have a "math mind" and others don't.

12. There is a magic key to doing math.

Page 5: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Math Education• Math educators are "different".– Different personalities– Different backgrounds– Unique content– Specific pedagogy– Different lesson plan structuring– Multiple standards– Single professional organization– Multiplicity of stressors

Page 6: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Stressors

• Students LOATE mathematics! Why?• Large class sizes• TIMSS and NAEP studies• Push for application-based mathematics• Push for inquiry-based learning (NSF)• Push of use of technology• AYP!

Page 7: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

And they HAVE to teach "our" kids...

• IDEA mandate• LRE• Highly qualified teacher• Most special educators are not considered

highly qualified in the math content area.

Page 8: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Research

• Do Educators Feel Adequately Prepared to Teach STEM subjects to Students with VI?

• How do STEM teachers REALLY feel about students with disabilities?

• How do STEM teachers REALLY feel about students with VI?

Page 9: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Example of How Math Teachers React to Our Students

• Answer these questions:– What attitudes are demonstrated by the math

teacher towards students with VI?– How did the TVI “handle” the situation?– How could the TVI have made the situation

better?

Page 10: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Math Education Research1. The extent of the students’ opportunity to learn math content

bears direction and decisively on student math achievement.2. Focusing instruction on the meaningful development of

important mathematical ideas increases the level of student learning.

3. Students can learn both concepts and skills by solving problems.

4. Giving students both an opportunity to discover and invent new knowledge and an opportunity to practice what they have learned improves student achievement.

5. Teaching that incorporates students’ intuitive methods can increase student learning, especially when combined with opportunities for students interaction and discussion.

Page 11: Mathematics is 50% formulas, 50% proofs, and 50% imagination! Major Issues in Mathematics Education Presented by Derrick W. Smith, Ed.D., COMS®

Math Education Research, cont.

6. Using small groups of students to work on activities, problems, and assignments can increase student math achievement.

7. Whole-class discussion following individual and group work improves student achievement.

8. Teaching math with a focus on number sense encourages students to become problem solvers in a wide variety of situations and to view math as a discipline in which thinking is important.

9. Long-term use of concrete materials is positively related to increases in student math achievement and improved attitudes towards math.

10. Using calculators in the learning of math can result in increased achievement and improved student attitudes.