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Psychology in mathematics education is an applied research domain, with many recent developments relevant to elementary mathematics. A major aspect is the study of motivation; while most young children enjoy some mathematical practices, by the age of seven to ten many lose interest and begin to experience mathematical anxiety.
Visual learning is a learning style among the learning styles of Neil Fleming's VARK model in which information is presented to a learner in a visual format. Visual learners can utilize graphs, charts, maps, diagrams, and other forms of visual stimulation to effectively interpret information.
Mathematical visualization is used throughout mathematics, particularly in the fields of geometry and analysis. Notable examples include plane curves , space curves , polyhedra , ordinary differential equations , partial differential equations (particularly numerical solutions, as in fluid dynamics or minimal surfaces such as soap films ...
The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
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]
Discovery math: a constructivist method of teaching (discovery learning) mathematics which centres around problem-based or inquiry-based learning, with the use of open-ended questions and manipulative tools. [23] This type of mathematics education was implemented in various parts of Canada beginning in 2005. [24]
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