IMIA K-12 Syllabus

PSYCHOLOGY OF LEARNING MATHEMATICS:

IMPROVING MATH INSTRUCTION K-12 and BEYOND

COURSE OBJECTIVES

I. HOW CHILDREN LEARN MATHEMATICS

A. Cognitive development and mathematics learning

B. Mathematics learning personality

C. Levels of knowing mathematics

D. Prerequisite skills and mathematics learning

E. Mathematics of a second language.

II. INSTRUCTIONAL MODELS

A. Characteristics of models

B. Vertical acceleration

C. A lesson plan

III. KEY CONCEPTS, SKILLS AND PROCEDURES IN MATHEMATICS

A. Number conceptualization, relationships, and procedures

B. Representing number: place value and its forms

C. Fractions: representation, forms, operations, and applications

D. Integers and operations on integers

E. Spatial sense and geometric thinking

F. Algebraic thinking