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Competency-based learning or competency-based education is a framework for teaching and assessment of learning. It is also described as a type of education based on predetermined "competencies," which focuses on outcomes and real-world performance. [ 1 ]
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]
The teaching of practical mathematics (arithmetic, elementary algebra, plane and solid geometry, trigonometry, probability, statistics) to most students, to equip them to follow a trade or craft and to understand mathematics commonly used in news and Internet (such as percentages, charts, probability, and statistics)
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]
Reform mathematics is an approach to mathematics education, particularly in North America. It is based on principles explained in 1989 by the National Council of Teachers of Mathematics (NCTM). The NCTM document Curriculum and Evaluation Standards for School Mathematics ( CESSM ) set forth a vision for K–12 (ages 5–18) mathematics education ...
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 ...
NCTM does not conduct research in mathematics education, but it does publish the Journal for Research in Mathematics Education (JRME). JRME is devoted to the interests of teachers of mathematics and mathematics education at all levels—preschool through adult. JRME is a forum for disciplined inquiry into the teaching and learning of ...
Instruction must be situated in an authentic context that resembles that of the classroom teacher to enrich their learning process by providing realistic experiences that more easily transfer. [ 19 ] Students process information by visualizing, hearing, reasoning and reflecting so they tend to learn more easily by having models to go by or imitate.