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Instructional modeling is a common pedagogical practice where an instructor “acts out” or conducts an exhibition of proper skill performance, process execution, or cognitive processing (e.g. think-aloud). Students refer to the instructor's model and attempt to mimic or reproduce what they observed.
In 1893, a Chair in mathematics education was created at the University of Göttingen, under the administration of Felix Klein. The International Commission on Mathematical Instruction (ICMI) was founded in 1908, and Felix Klein became the first president of the organisation.
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]
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 ...
The foundations for this framework are the Principles and Standards for School Mathematics published by the National Council of Teachers of Mathematics [1] [2] [3] (NCTM) in 2000. A second report focused on statistics education at the collegiate level, the GAISE College Report, was published in 2005. Both reports were endorsed by the ASA. [4]
The model includes strategies for selecting and including multimedia during instruction. It is one of the few models that recognizes content orientation of many teachers. In the field of education, the model “has stood the test of time and has continued to serve the classroom teacher well”.
There is minimum interaction between the students and the teachers. Learning which also involves motivating the students to develop an interest towards the subject may not be satisfied through this teaching method. [14] [15] It may be a monologue process and experience of the students may not have a significant role in learning. [13]
In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal (e.g., mental construct) and external (e.g., graph). Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate ...