University of Texas at El Paso
College of Education
Department of Teacher Education
ELED 3310
"Teaching Mathematics in the Elementary School"
Instructor: Dr. Mourat A. Tchoshanov Office: EDUC603 Phone: (915) 747-7668 Fax: (915) 747-7441 E-mail: mouratt@utep.edu |
Semester: Sections: Room: Office hours: |
Required Text
Recommended Manipulative Kit
Course Objectives
Course Syllabus
Class | Topic/Issue | Readings |
1. | Introduction and Overview. Reflection on Learning and Teaching of Mathematics. Begin Journal Writing (Math Autobiography). | |
2. | US School Mathematics from an International Perspective. Standards and Current Reform Movement. Rethinking the Goals of School Mathematics. What It Means to Do Mathematics (Group Presentation – VdW Ch. 2) | VdW. Ch.1-2, Appendix A&B |
3. | Constructing Mathematical Knowledge: Doing, Communicating and Thinking. Developing Understanding in Mathematics (Group Presentation – VdW Ch. 3). Problem Solving Peer Interview. | VdW. Ch. 3 |
4. | Teaching Mathematics through Problem Solving and Inquiry (Group Presentation – VdW Ch. 4). Multiple Representations in Improving of Students’ Problem Solving Skills. Planning Mathematics Lesson (Group Presentation – VdW Ch. 22). Begin Lesson Planning. | VdW. Ch. 4 & 22 |
5. | Assessment and Evaluation in Mathematics Classroom. Building Assessment into Instruction (Group Presentation – WdV Ch. 5). Equity Principle in Teaching Mathematics (Group Presentation – VdW Ch. 23). | VdW. Ch. 5& 23 |
6. | Visualization and Development of Mathematics Instructional Materials. Using Internet in Developing Instructional Materials, Activities, and Lesson Plans. Technology and School Mathematics (Group Presentation – VdW Ch. 24). Problem Solving Peer Interview. | VdW. Ch. 24 |
7. | Developing Number Sense and Operation: Models, Manipulatives, and Word Problems. Models and Strategies for Addition, Subtraction, Multiplication, and Division. Teaching Micro-lessons. | VdW. Ch. 6-8 |
8. | Whole Numbers: Mental, Pencil-and-Paper, Calculator Computation and Estimation. Models for Place-Value Development. Problem Solving Peer Interview. Teaching Micro-lessons. | VdW. Ch. 9-11 |
9. | Constructing In-depth Understanding of Fraction Concepts and Computation with Fractions. Fraction Models and Algorithms. Teaching Micro-lessons. | VdW. Ch. 12,13 |
10. | Developing Decimal and Percent Concepts and Decimal Computation. Concepts of Ration and Proportion. Problem Solving Peer Interview. Teaching Micro-lessons. | VdW. Ch. 14,15 |
11. | Constructing Measurement Concepts and Developing Students’ Geometric Thinking. Measuring Length, Area, Volume, Angles, etc. Learning to Read and to Do Geometric Proofs. Problem Solving Peer Interview. Teaching Micro-lessons. | VdW. Ch. 16,17 |
12. | Developing Logical Reasoning and Exploring Patterns. Repeating and Growing Patterns. The Fibonacci Sequence. Patterns with the Calculator. Teaching Micro-lessons. | VdW. Ch. 18 |
13. | Inquiry-based Teaching and Learning of Data Analysis, Statistics, and Probability. Graphical Representations of Data. Understanding of Basic Statistics Concepts. Problem Solving Peer Interviews. Teaching Micro-lessons. | VdW. Ch. 19 |
14. | Constructing In-depth Understanding of Functions, and Algebra Concepts. Exploring Topics in Number Theory. Five Representations of Function. Functions from Patterns. Developing Concept of Variable. Teaching Micro-lessons. | VdW. Ch. 20,21 |
15. | Final Exam |
Course Structure
Course Requirements
The
Complete Portfolio must include the following 5 components (all assignments, except videotape, are to be type-written, double-spaced, 12 pt. Font, 1 inch margins):
Two Exemplary Problem Solving Protocols (1-2 pages each) of peer/student interviews (one of each), including the description of problem solving process (how the problem was solved, what techniques have been used, what questions have been asked, etc.).
Two Exemplary Lesson Plans (5-7 pages each) for the chosen grade level, including detailed description of teacher’s and students’ actions and a set of classroom activities related to the Standard. One of the lesson plans is for teaching micro-lesson in class, and the second one – for lesson videotaped in an actual classroom setting at school.
Lesson Videotape (20-25 min) should include a fragment of student’s teaching of mathematics in an actual classroom setting in one of the elementary or middle schools.
Reflection-paper (8-10 pages) on teaching and learning of elementary and middle school mathematics. This paper might include reflections from student’s journal and reflections on observed and conducted lessons and presentations.
Grade Distribution
Classroom participation/preparation/discussion | 15% |
Portfolio: | |
#1 – Outline of Group Presentation | 10% |
#2 – Two Exemplary Problem Solving Protocols | 10% |
#3 – Two Exemplary Lesson Plans | 10% |
#4 - Lesson Videotape | 15% |
#5 – Reflection-Paper | 15% |
Teaching a micro-lesson | 15% |
Journal | 10% |
Grading Scale:
90 – 100 = A (Excellent – 4.0) | 80 – 89 = B (Good - 3.0) |
70 - 79 = C (Average - 2.0) | 60 - 69 = D (Passing - 1.0) |
0 - 59 = F (Failure - 0.0) |
Deadlines
Course drop -
Complete Portfolio -
Notes
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