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Research as a resource in a high-school calculus curriculum
Tommy Dreyfus1, Anatoli Kouropatov2, Gila Ron3
1Tel Aviv University, Tel Aviv, Israel.
ZDM : the International Journal on Mathematics Education
|February 22, 2021
Summary
New Israeli K-12 math curriculum documents emphasize calculus, integrating research principles like reasoning, real-world connections, and concept cultivation. This research influence is evident throughout the curriculum, especially in the integration unit.
Area of Science:
- Mathematics Education
- Curriculum Development
Background:
- National mathematics curriculum documents for grades K-12 have been developed in Israel.
- Focus is on the calculus component for the highest matriculation level.
Purpose of the Study:
- To analyze the influence of research on the calculus component of the new Israeli mathematics curriculum.
- To identify and examine the guiding principles behind the curriculum's design.
Main Methods:
- Content analysis of curriculum documents, focusing on the calculus component.
- Examination of sample tasks and unit design, particularly the integration unit.
- Identification of underlying principles guiding curriculum development.
Main Results:
- Mathematics education research has profoundly influenced the curriculum, despite not being explicitly cited.
- Three key principles guided the writing team: mathematical reasoning, real-world applications, and fostering emergent concepts.
- These principles are demonstrably implemented in the curriculum, including the integration unit.
Conclusions:
- The new Israeli calculus curriculum for advanced levels is deeply informed by mathematics education research.
- The curriculum's design reflects a deliberate effort to integrate fundamental mathematical ideas, reasoning, and practical applications.
- Research-based principles are embedded throughout the curriculum, shaping both content and pedagogical approaches.
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