- There is a set of boxed-off review questions at the end of every
investigation (1-3 days). The teacher leads a whole-class discussion
of these "Checkpoint" questions, making sure all students understand
the main ideas.
- Students create summaries of important ideas, definitions, and
methods in a structured section of their notes called a "math
toolkit." They make entries into this toolkit based on specific
prompts from their teacher suggested in the teacher notes. The
math toolkits become, in essence, student-created glossaries.
- There is a summary and review lesson at the end of every unit
(3-6 weeks). These are called Looking Back lessons. A Looking
Back lesson consists of tasks that summarize and review all the
main ideas of the unit.
- The short skill maintenance sheets which are part of the Teacher
Resource materials for each unit, beginning with Unit 4 of Course
1, provide periodic review of material from previous units and
- Also, at the end of each Course 4 unit, students are given an
outline of a unit summary. Students complete this as a record
of the concepts, facts, and procedures that they have learned.
As well as being an excellent summary and review, these concise
summaries can be kept for easy reference later on.
- At the end of each course, there is a 1-2 week synthesizing
unit, called a Capstone. The Capstone unit is designed to pull
together and review what students have learned during the year.
Each Capstone involves investigating problem situations related
to one context or one theme. For example, the Course 1 Capstone
unit is about putting on a school carnival, including games, finances,
and planning, and the Course 3 Capstone is centered around the
theme of optimization.
- Of course, homework, quizzes, projects, and tests also contribute
to review and summary.
||The math toolkits
and the maintenance sheets were incorporated into the final version
of the curriculum as part of the development process (they were not
part of the pilot-test version). These modifications were made to
enable students to better organize, summarize, review, and retrieve
the important mathematical concepts, principles, and methods that
they have studied.