NDSU Distance & Continuing Education (DCE)

Bringing Education to You

K-12 Professionals

Discovery-Based Mathematics, Part 2

EDUC 600




Instructor: Sophia Thwaites

Grading: Letter

Monday, August 25, 2014 - Friday, December 12, 2014

Instruction Mode: Internet-Asynchronous (Online Class)

Academic Level: K-12 Professional Development

NDSU Credit Fee: $145

Class Offered Through Knowledge Delivery Systems

Course Description:

With an emphasis on mastering multiplication and division and on the concepts of fractions and decimals, this course provides educators with easy-to-implement, well-sequenced activities that promote conceptual understanding and relate concrete understanding to symbolic interpretation. Educators learn techniques to assess all students’ understanding of skills and concepts so that lessons can be adjusted to meet students’ needs and expand their understanding of mathematical concepts.

*Note: Requires Discovery-Based Math Manipulatives Kit.
The supplemental kit includes a custom-tailored workbook to follow the online courses, as well as correlating handouts, Discovery Templates, a Self-Study Guide, and the patented “Communicator,” along with many hands-on math manipulatives. (The materials are packaged in a convenient carrying case.)


After completing this course, educators will know:

  • Reasons why constructivist, alternative strategies are essential elements to be implemented into all math classrooms.
  • How to use base-ten blocks, connecting cubes, geoboards, fraction tiles, pattern blocks, and rulers to teach conceptual understanding, fact mastery, and algorithmic understanding of all four arithmetic operations with whole numbers, fractions, and decimals.
  • Why all students need to experience concepts through concrete, iconic, and then symbolic stages of learning.
  • Techniques of how to transfer concrete understanding to fact and algorithmic mastery of traditional algorithms.
  • How to use response devices to monitor understanding, adjust lessons, and formulate questions that reflect students current level of understanding.
  • How to incorporate techniques that build foundational understanding, number sense, and estimation skills so that students can effectively know when to use mental math, paper and pencil, or estimation, and then a calculator to solve basic computational problems involving whole numbers fractions and decimals.
  • How to use inquiry based techniques to foster student understanding, self-esteem, and self-confidence.


• Transcripts, handouts, and PowerPoint presentations

About The Instructor

Sophia Thwaites
Sophia Thwaites

Sophia Thwaites earned her M.A. in Education with a Social Studies concentration from Teachers College, Columbia University, New York. She earned her B.A. in History from University of Florida.




**Registration Instructions:

Register for this class through KDSi. Effective January 1, 2015 the cost of this course will be $199.00.

NOTE: Upon registration, you have 2 months for course completion. Although many of our courses are approved for both 1 and 3 graduate professional development credits, participants can only receive credit for one version of each course. 

A minimum $20 processing fee will be assessed per person for cancellations received after the start of the course. Refunds are not issued after the start of the course or after access to the course has been provided.

**Register Now