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Similarly, a woman who is aware of the stereotype that purports that women are not good at mathematics may perform worse on tests of mathematical ability or avoid mathematics altogether. [38] These examples demonstrate that the metacognitive beliefs people hold about the self - which may be socially or culturally transmitted - can have ...
The metacognitive shift consists in taking a technique, necessary to solve a problem, as the object of study. This results in losing sight of the factual knowledge to be acquired. [4] The improper use of analogy results in the replacement of the complex study of a notion that is also complex by that of an analogy.
In general, math textbooks which focus on instruction in standard arithmetic methods can be categorized as a traditional math textbook. Reform math textbooks will often focus on conceptual understanding, usually avoiding immediate instruction of the standard algorithms and frequently promoting student exploration and discovery of the relevant ...
Download QR code; Print/export Download as PDF; ... Pages in category "Mathematics textbooks" The following 83 pages are in this category, out of 83 total.
Well-known books using programmed learning include the Lisp/Scheme text The Little Schemer, [43] Bobby Fischer Teaches Chess, [44] Engineering Mathematics, [45] by Ken Stroud, and Laplace Transform Solution Of Differential Equations: A Programmed Text, by Robert D. Strum and John R. Ward of the Naval Postgraduate School. [46]
Nelson and Narens proposed a theoretical framework for understanding metacognition and metamemory. [2] In this framework there are two levels: the object level (for example, cognition and memory) and the meta level (for example, metacognition and metamemory). Information flow from the meta level to the object level is called control, and ...
Pólya's book has had a large influence on mathematics textbooks as evidenced by the bibliographies for mathematics education. [ 28 ] Russian inventor Genrich Altshuller developed an elaborate set of methods for problem solving known as TRIZ , which in many aspects reproduces or parallels Pólya's work.
Aleven, along with his colleague Kenneth Koedinger, assisted in creating Cognitive Tutor, an intelligent tutoring software that supports guided tutoring for math courses. His research investigated whether self-explanation through Cognitive Tutor could improve student performance in school more than conventional methods.