A. General
1. Students will learn mathematics constructively through the appropriate use of
manipulatives, models, and diagrams.
2. Students will acquire confidence in using mathematics meaningfully and be able to
apply mathematical thinking and modeling to solve problems that arise in other
disciplines, such as art, music, psychology, science, and business.
3. Students will be able to design hands-on activities in order to teach a variety of
mathematical concepts ranging from counting to algebra to elementary and middle school
children.
B. Specific
The student will be able to…
1. use problem-solving approaches to investigate and understand mathematical content;
2. formulate problems from situations within and outside mathematics;
3. develop and apply a variety of strategies to solve multi-step problems;
4. model situations using concrete, pictorial, graphical, and algebraic methods;
5. understand and apply reasoning processes, with special attention to spatial
reasoning and reasoning with proportions and graphs;
6. develop number sense for whole numbers, fractions, decimals, integers, and rational
numbers;
7. understand and apply ratios, proportions, and percents in a wide variety of
situations;
8. investigate relationship among fractions, decimals, and percents;
9. represent numerical relationships in one-and two-dimensional graphs.
10. develop and apply number theory concepts (e.g., primes, factors, and multiples) in
real-world and mathematical problem situations;
11. describe, extend, analyze, and create a wide variety of patterns;
12. describe and represent relationship with tables, graphs, and rules;
13. use patterns and functions to represent and solve problems;
14. apply algebraic methods to solve a variety of real-world and mathematical problems;
15. analyze tables and graphs to identify properties and relationships;
16. visualize and represent geometric figures to develop spatial sense and explore
spatial relations;
17. represent and solve problems using geometric models;
18. select appropriate units and tools to measure to the degree of accuracy required in
a particular situation;
19. extend their understanding of the concepts of perimeter, area, volume, angle
measure, capacity, and weight and mass;
20. develop formulas and procedures for determining measures to solve problems.
II. Textbook: Mathematics for Elementary Teachers: A Conceptual
Approach by Albert B. Bennett, Jr. and L. Ted Nelson