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Titlebook: A Full Axiomatic Development of High School Geometry; David M. Clark,Samrat Pathania Textbook 2023 The Editor(s) (if applicable) and The A

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發(fā)表于 2025-3-21 16:13:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱A Full Axiomatic Development of High School Geometry
影響因子2023David M. Clark,Samrat Pathania
視頻videohttp://file.papertrans.cn/141/140820/140820.mp4
發(fā)行地址Provides thorough account of principles of high school geometry for professional mathematicians.Focuses on a guided-inquiry approach to teaching the axiomatic development of geometry.Includes referenc
圖書封面Titlebook: A Full Axiomatic Development of High School Geometry;  David M. Clark,Samrat Pathania Textbook 2023 The Editor(s) (if applicable) and The A
影響因子.This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school geometry. It begins with a set of points, a measure of distance between pairs of points and ten simple axioms. From there the notions of length, area and angle measure, along with congruence and similarity, are carefully defined and their properties proven as theorems. It concludes with a proof of the consistency of the axioms used and a full description of their models. It is provided in guided inquiry (inquiry-based) format with the intention that students will be active learners, proving the theorems and presenting their proofs to their class with the instructor as a mentor and a guide..The book is written for graduate and advanced undergraduate students interested in teaching secondary school mathematics, for pure math majors interested in learning about the foundations of geometry, for faculty preparing future secondary school teachers and as a reference for any professional mathematician. It is written with the hope of anchoring K-12 geometry in solid modern mathematics, thereby fortifying the teaching of secondary a
Pindex Textbook 2023
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沙發(fā)
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板凳
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Hirntumoren bei Kindern mit NeurofibromatoseFix any point ?. If ? is a positive number, we would like to define the dilation with center ? and scaling factor ? to be the function taking ? to itself
地板
發(fā)表于 2025-3-22 06:52:56 | 只看該作者
Hirntumoren bei Kindern mit NeurofibromatoseAn area measure function A can be introduced either as another primitive construct or as a defined construct.
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https://doi.org/10.1007/978-3-642-74499-0Like area measure, angle measure is a construct that can either be primitive or defined.
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發(fā)表于 2025-3-22 15:08:37 | 只看該作者
N. Veelken,K. Stollhoff,M. ClaussenWe say that an angle is acute if it is less than a right angle. This chapter is about that part of trigonometry that intersects high school geometry: the trigonometric functions of acute angles.
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N. Veelken,K. Stollhoff,M. ClaussenChapter 7 concludes the investigation we laid out in the introduction to Chapter 1.
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978-3-031-23527-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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