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The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
An instructional theory is "a theory that offers explicit guidance on how to better help people learn and develop." [1] It provides insights about what is likely to happen and why with respect to different kinds of teaching and learning activities while helping indicate approaches for their evaluation. [2]
NCTM publishes three official journals. All are available in print and online versions. Mathematics Teacher: Learning and Teaching PK-12.According to the NCTM, this journal "reflects the current practices of mathematics education, as well as maintaining a knowledge base of practice and policy in looking at the future of the field.
Mastery learning is an instructional strategy and educational philosophy that emphasizes the importance of students achieving a high level of competence (e.g., 90% accuracy) in prerequisite knowledge before moving on to new material. This approach involves providing students with individualized support and repeated opportunities to demonstrate ...
Discovery-based mathematics is at the forefront of the Canadian "math wars" debate with many criticizing it for declining math scores. New Math: a method of teaching mathematics which focuses on abstract concepts such as set theory, functions, and bases other than ten. Adopted in the US as a response to the challenge of early Soviet technical ...
Instructional design (ID), also known as instructional systems design and originally known as instructional systems development (ISD), is the practice of systematically designing, developing and delivering instructional materials and experiences, both digital and physical, in a consistent and reliable fashion toward an efficient, effective, appealing, engaging and inspiring acquisition of ...
Applied academics is an approach to learning and teaching that focuses on how academic subjects (communications, mathematics, science, and basic literacy) can apply to the real world. [1] Further, applied academics can be viewed as theoretical knowledge supporting practical applications. [2] [3]
Ralph W. Tyler introduced the idea of "backward design" (without using this particular term) in 1949 when referring to a statement of objectives.A statement of objectives is used to indicate the kinds of changes in the student to be brought about so that instructional activities can be planned and developed in a way likely to attain these objectives.