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

  1. Introduce the students to contemporary learning theories and innovative techniques of teaching and learning elementary and middle school mathematics.

  2. Familiarize the students with general and content methods of teaching and learning elementary and middle school mathematics based on the national and local Standards.

  3. Provide the students an opportunity to create a successful learning environment in elementary and middle school mathematics.

  4. Help the students overcome challenges of teaching mathematics, reflect upon and grow from their own experiences of learning and teaching mathematics.


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

  1. It is expected that students will attend all classes and actively participate in class discussions. Students are expected to prepare for each class session. If a student misses a session, it is the responsibility of the student to make up for it.

  2. On-going math journal writing including student’s own thoughts, questions, and classroom reflections. Student journals will be collected and rated at least twice during the semester.

  3. Group presentations to be discussed in class – each group must distribute an outline of their presentation.

  4. Teaching Micro-lesson in class (15 min): each student will present one micro-lesson to their peers on a chosen grade level. Student-teacher must distribute the lesson plan with examples of classroom activities.

  5. Videotaping Actual Lesson Fragment (20-25 min): every student will arrange to have a videotape of his/her lesson taught in an actual classroom setting at the elementary or middle school.

  6. Problem Solving Interview: each student will have opportunity to interview peers, and elementary or middle school students and complete protocols of problem solving process. Two exemplary protocols (one of each) will be included in the portfolio.


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):


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

Main Page Syllabi Teaching Philosophy Course Materials
Math Education Links Visual Mathematics Activity Theory Vita and publications Photo Gallery