Each year of the curriculum advances students' understanding of mathematics along interwoven strands of algebra and functions, geometry and trigonometry, statistics and probability, and discrete mathematical modeling. These strands are unified by fundamental themes, by common topics, by mathematical practices, and by mathematical habits of mind. Developing mathematics each year along multiple strands helps students develop a connected understanding of mathematics and nurtures their differing strengths and talents.
The problem-based curriculum emphasizes mathematical modeling, including the processes of data collection, representation, interpretation, prediction, and simulation. For more information on modeling in the curriculum, see The Core of Core-Plus Mathematics.
Access and Challenge
The curriculum is designed to make mathematics accessible to more students, while at the same time challenging the most able students. Differences in students' performance and interest can be accommodated by the depth and level of abstraction to which core topics are pursued, by the nature and degree of difficulty of applications, and by providing opportunities for student choice on homework tasks and projects.
Numeric, graphic, and symbolic manipulation capabilities such as those found in CPMP-Tools and on many handheld graphing calculators are assumed and appropriately used throughout the curriculum. CPMP-Tools is a suite of computer software that provide powerful aids to learning mathematics and solving mathematical problems. This use of technology permits the curriculum and instruction to emphasize multiple linked representations (verbal, numerical, graphical, and symbolic) and to focus on goals in which mathematical thinking and problem solving are central.
Instructional materials promote active learning and teaching centered around collaborative investigations of problem situations followed by teacher-led whole class summarizing activities that lead to analysis, abstraction, and further application of underlying mathematical ideas and principles. Students are actively engaged in exploring, conjecturing, verifying, generalizing, applying, proving, evaluating, and communicating mathematical ideas.
Short clips of classrooms are available
at Parent Resources: CPMP Classrooms.
Comprehensive assessment of student understanding and progress through both curriculum-embedded and supplementary assessment tasks supports instruction and enables monitoring and evaluation of each student's performance in terms of mathematical processes, content, and dispositions.
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