Math Curriculum
A Pathway to Success with the Common Core
GoMath and Common Core
Common Core Math Shifts
CST in Comparison SBAC
Algebra Example
Conceptual vs Procedural
California 1997 CST
Common Core
Both of these questions are testing the concept “systems of equations.” The new test, aligned to the CCSSM, requires a much deeper understanding of the concept and is tested through a real-world example. Students must prove what they know through explanations--there will no longer be multiple choice
CST in Comparison SBAC
5th Grade Example
Conceptual vs. procedural
California 1997 CST
Common Core
Both of these questions are testing the concept of decimals. The new test, aligned to the CCSSM, requires a much deeper understanding of the concept. Students must be able to describe how to round decimals and how it would effect a real-life situation.
Watch from 35:00 minutes to 36:12 minutes
Math Curriculum
A Distinction Between Conceptual Knowledge and Procedural Knowledge
This different emphasis results in a different use of class time in mathematics classes. In a procedurally oriented mathematics class, almost all of the student's time must be spent practicing procedures so that the student can carry out the procedures flawlessly. In a conceptually oriented mathematics class, the bulk of time is spent helping the students develop insight. Activities and tasks are presented to provide learners with experiences that provide opportunities for new understandings. Once the students gain understanding, then there is a need for some time to be spent on practice. Research has shown that students in a conceptually oriented mathematics class outperform students in a procedurally oriented mathematics class on tests and on measures of attitude toward mathematics.
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SpringBoard
Conceptual understanding vs. procedural
1. At the end of Day 2, Mr. Chang looks out the door of his classroom, where he can see lockers 1 through 10.
a. Which of these are open and which are closed?
b. Tell how you decided which lockers were open or closed.
What patterns did you notice?
Euler Middle School has 500 lockers, numbered from 1 through
500. On the first day of summer vacation, the custodian opens and
cleans all of them, leaving the doors open.
During the remaining days of summer vacation, she checks the
lockers to make sure that their doors do not squeak. However, as
time goes on, she checks fewer and fewer of them. On the second
day, she goes through the school and closes every second locker,
beginning with Locker 2.
Watch from 0:47 seconds to 2:47 minutes
SpringBoard
Student-Centered
Small Groups Working Together to Explain Mathematics
By the end of each lesson the students have a conceptual understanding of each math topic and can relate it back to the activity we just completed.
Prime vs. Composite Lockers
Integers Cruising Altitude
Tools for implementing the program:
Assessments
SpringBoard
Embedded Assessments
Student Scores Based on the following criteria:
Resources: Math Help
Resources: Common Core