S17 EDUC 58039 Teaching Elementary Math Conceptually: A New Paradigm

S17 EDUC 58039 Teaching Elementary Math Conceptually: A New Paradigm

Distance Education-Alaska Pacific University
2 Credits / Graded A-F
Self-paced, start anytime


This course is designed to explain and connect the major concepts, procedures and reasoning processes of mathematics.  Current research and trends in math education will be discussed to outline a teaching methodology that is conceptual, contextual and constructive.  Activities are presented to explain underlying concepts and illustrate constructive teaching .

Course Objectives
  • Expand conceptual understanding of number sense, basic operations and fractions
  • Explore a conceptual model of teaching math
  • Develop Skill in designing constructive learning experiences
  • Explore foundational mathematical principles
  • Investigate integrating conceptual teaching into the curriculum
Course Overview

This course have been divided into four chapters covering four math topics: number senses addition and subtraction, multiplication and division and fractions.

Chapter 1 – Number Sense

The first chapter outlines the teaching model, including a discussion of the conceptual, contextual, and constructive teaching of math. Comparisons are drawn between traditional math education and current trends in math education. The chapter also explores how to develop conceptual understanding of number sense, counting principles, and place value. Example activities are presented, both to explain mathematical concepts and to illustrate teaching strategies.

Chapter 2 – Addition & Subtraction

The second chapter covers concepts in addition, subtraction, and estimation. This chapter explores foundational concepts to develop computational fluency without memorization. Strategies represent conceptual and constructive teaching. A unique manipulative tool is introduced that is used extensively to develop operational concepts and expand place value principles.

Chapter 3 – Multiplication & Division

The third chapter develops concepts in multiplication, division, and prime numbers. In this chapter, designing contextual problems is discussed. Strategies presented are designed to construct operational concepts that are foundational to fractions. Place value concepts are expanded, and prime number concepts are developed.

Chapter 4 – Fractions

The final chapter explores fractional understandings. Alternative manipulatives are used to develop essential concepts as well as computational principles. In addition, a unique strategy is presented to find common denominators, equivalent fractions, and reduced fractions. All operations, including division, are presented using manipulatives to teach for understanding.



 

Contact Information

  • Phone: 907-364-3809
    Email: asdn@alaskaacsa.org

Payment Instructions

  • Tuition: 

    $305 for Tier One Member Districts *

    $355 for Tier Two Member Districts

    *Click here to see if your district is a Tier One or Tier Two member.
    You may pay by
    • VISA
    • MasterCard
    • American Express
    • Discover Card

    Course Completion Policy
    From the date of registration, registrants have a minimum of 30 days and a maximum of one year to complete the course.  Per Alaska Pacific University policy, grades will not be submitted before the 30 day minimum period.

    Cancellation Policy
    Any and all cancellations of ASDN Distance Education courses, within 30 days of registration, will result in a $90 cancellation fee. No refunds will be issued after 30 days.