1. Using LOGO to Teach Geometry and Problem Solving to Future Middle School Teachers Jerry Dwyer Gary Harris G. Brock Williams Texas Tech University

2. Our Math Curriculum for 4-8 Math Specialists College Algebra Elementary Arithmetic Elementary Geometry Elementary Calculus Discrete Math and Statistics Problem Solving / Number Theory Computer Capstone Course

3. Maple  Calculus  Algebra  Number Theory LearnStar LOGO  Geometry  Problem Solving

4. LOGO “Turtle Language”  Variant of LISP  Created in the 1960’s  Strongly Constructivist Geometry By Moving the Turtle MSWLOGO is Freely Downloadable

14. LOGO Material Online Workbook  Bob Byerly and Gary Harris Discovery Learning Activities in Class Portfolio  LOGO Programs  School House  Teaching Activities TEKS Objectives Materials Ready to Teach Short Essay

23. Teaching and Learning Our Goal Is Not to Teach LOGO Rather  Refresh Old Skills and Learn to Apply Them  Sharpen Problem Solving Skills  Prepare to Teach with Technology

24. Example Final Exam Question Five scenarios are described below. During the course of the semester we have focused on three technologies – Maple, LearnStar, and Logo. Choose two different scenarios below. For each scenario choose a different technology and describe thoroughly how you could apply the technology to the teaching scenario.

25. Example Final Exam Question A. You want to introduce modular arithmetic to 4 th graders. For example, the students should be able to calculate m mod n for small values of m and n. They should be able to tell if m is even or odd depending on the value of m mod 2. B. You are teaching a 6 th grade math class. You need to review the concept of angle measurement and the definition of a polygon. Then introduce the idea that the interior angles of a triangle add up to 180 degrees. C. You are teaching an 8 th grade Algebra I class. First you want to introduce the quadratic formula. Since the square root of negative numbers can occur in the quadratic formula, you also want to introduce complex numbers and i as the square root of -1. D. You are teaching an AP calculus class and need explain what the derivative is and what it tells you about the function. E. You are teaching an AP calculus class and need to explain how to find the derivative of a polynomial.

26. Teaching Projects Students chose 5 TEKS objectives and created for each A "lesson plan" describing exactly how they could teach the objective using technology All necessary course materials (worksheets, etc) A short essay describing exactly how their materials will help students learn

27. Thanks! Questions??