基礎數學本質學能提升教材之編纂

摘要本研究是為了提供國中數學學習需求在普通班級中常被忽視的問題，主要在解決國民中學學習績效不佳的待加強學生的補救教學需求。故以國中數學領域課綱範圍為基礎，編寫國中數學之複習教材，讓教師能藉由教材，使學生能體會到數學問題的本質，並提供給學生多樣化的解題方法，培養學生獨立研究思考的習慣，提升學習興趣，同時培養學生解決問題及創造思考的能力。研究結果如下所示：一、國中補救教材之單元教材。能提供學生解決不同問題的策略，並在解決問題的過程中，培養學生多元思考的概念及精神。二、本研究者在所編纂的國中學生補救教材之教學單元，最後再自行吸收，並歸納出符合自己的解決方法，期能符合本補救教材的編纂目的。三、目錄：共八單元。四、本研究歸納出各單元的解題概念、解題方法、策略數的概念建立、正負數用黑白及方向的概念來協助理解。 (一)利用數的概念建立及正負數用黑白及方向的概念來協助理解。 (二)用販賣機的概念及電腦的輸出入來建立方程式連結。 (三)消去及矩陣的概念來舖陳二元一次聯立方程式的架構。 (四)利用地圖來協助學生理解坐標的概念及比例式的架構。 (五)以大小及範圍的想法來建立學生不等式的觀念。

關鍵字

補救教學；基礎；提升

並列摘要

Abstract My study aim to help the student who was failure to study mathematical and solve the common block of the low effective student in junior high school. Special learning and teaching needs for all of that was always neglected in regular class. So that I was conference the Learning Area in grade 7-9 curriculum. Teaching and learning Math on the complete square number for these students were design to make them understand the essence of Math. Indication to teaching the essence materials and provided the student with multi-ways to solve the Math and develop the student’s open-minded consideration ability. And increasing the interest in Math of the student. The result of the research are fallowing 一、The remedy teaching material of the textbook to provide the student the strategy to solve the different problem, and hope the student could cultivate the student to get variety thinking method and spirit thought solve the question. 二、The study aim to make the student to learn all the unit of teaching material of math and absorb all of it , finally to induction the strategy of himself in order to match the purpose of this research of remedy teaching material. 三、Table of content：total 8 units. 四、The study induction out the solution of all the unit include solving concept, method of problem solving, instruction the concept of solving strategy, variety method to solving the question and helping to understand all the unit. (一)Use the concept of number and the concept of black and white and direction to help learning the acknowledge. (二)The concept of elimination method an matrix to elaborate the construction of the binary one power equation. (三)Use the map to help the student to understand the concept and construction of the coordinate system and parallel function solution. (四)The concept of elimination method an matrix to elaborate the construction of the binary one power equation and proportional function. (五)Use the thought of measure and feature with range to establish the concept of the inequality equation.