數學教材 Mathematics Textbooks


VVM數學教材
以VVM教學法:"V"表示"視覺",讓學生看得到抽象的數學概念,而"VM"(Virtual Manipulative) 表示用電腦程式寫成的虛擬操作元件。針對每個重要的數學概念,設計出一組虛擬操作元件,使得學習者可以看到各種數學概念的形態。

國小到國中是一個轉捩點,在任何一個科目,都是一個知識開始膨脹的時候,一切具體的東西,都逐步的轉變成抽象; 在這階段,大家學習的速度不一,有些人開始出現跟不上的現象,成績出現差距,而學習最怕的就是比不上人,成績開始變差,就沒有信心,最後只好放棄這科、放棄那科。
大部分科目上,有較多的具體實例與故事來引導,譬如在國文,有詩詞、散文來欣賞,而理化科有實驗及生活經驗來引導。
唯獨數學就少了必要的引導,所以大部分學生只好死背以應付考試;久而久之,數學變成更難學習,也就認為數學是很討厭、不可戰勝的科目。

VVM國中數學基測詳解

國中數學基測詳解94-99年度最容易理解的國中數學基測詳解!!! 本書收錄迄今國中基測考題到最新99年度。
本書也提供:

  1. 操作實驗
  2. 口語化敘述
  3. 如何列式
  4. 不死套公式
  5. 驗證每個選項
  6. 分競圖解
  7. 排版問題
  8. 一題多解
八大特色, 幫助國中學子對於基測考題的理解,達到"少背公式,得高分"!!!


VVM國中數學基測詳解94學年(免費版)


VVM國中數學基測詳解95學年(免費版)


VVM國中數學基測詳解96學年(免費版)


VVM國中數學基測詳解97學年(免費版)


VVM國中數學基測詳解98學年(免費版)


VVM國中數學基測詳解99學年(免費版)

 


VVM國中數學基測詳解(94)


VVM國中數學基測詳解(95)


VVM國中數學基測詳解(96)


VVM國中數學基測詳解(97)


VVM國中數學基測詳解(98)


VVM國中數學基測詳解(99)

國中數學贏在起跑點

本銜接教材針對學習數學的困難,提出解決的方法,協助學生將抽象的數學概念具體化,增加學習數學的興趣和動力,進而達到『國中數學能力贏在起跑點』的目標。
本書分五大章:

  1. 複習國小課程
  2. 認識生活有關的數學名詞
  3. 預習國中課程
  4. 生活上與數學有相關事情的解答
  5. 給父母的話( 回答父母的常見問題)

本書具有以下特色:
  1. 經由故事引導,抓住學生的注意力,培養學生的興趣與動力。
  2. 提供一套將“具體數字算術”轉變成“抽象符號運算”的流程。
  3. 父母能藉由書中故事與流程,自行教小孩,不必依賴補習班。

根據作者的教學經驗,證明這套方法確實是有效,孩子對於故事、新奇有趣的東西,比較有興趣,同時由親人( 或是信任的人) 來引導,再去學校學習,便不會太厭惡數學,並且帶動親子互動,孩子會有一起學習的認同感,增加親子間互信關係。
反之,上學、去補習班給陌生的人來教導,對小孩來說,都存在著距離感,是一種被逼的,不自由的學習,非自願一定都會有事倍功半的情況。
這個問題需要一段時間才會消失,但時間不等人,在排斥的同時,學校進度一直再進行,因此要避免跟不上,一定要使用銜接教材來達成:
  1. 增加小孩對數學的興趣
  2. 快速掌握數學概念
  3. 達到自行念書
  4. 進而數學成績穩定進步
  5. 有效降低父母的數學焦慮症

同時降低小孩學簡單的數學都學不會,後面的當然也不可能學會的謬思。
本銜接教材可以節省上補習班的時間與金錢,增加與小孩相處的時間,讓小孩真正地快樂學習。


國中數學贏在起跑點


國中數學贏在起跑點-免費版


國中數學贏在起跑點-第一章


國中數學贏在起跑點-第二章

 


國中數學贏在起跑點-第三章


國中數學贏在起跑點-第四章

想問不敢問的問題

學生太多想問卻不敢問的問題,很多問題是約定俗成,一些是老師沒有解釋清楚的地方、一定聽過這句話。
『這個問題等你到國中或是到下一階段的學習,就會學到或才能懂』
鼓起勇氣問問題時,卻被說成不用心聽課。
而被推託只會感覺又是一個要背的公式, 拖久了就不問了,也對數學沒興趣了。
在本書收錄大多數的數學疑問,希望能讓人了解,曾經困惑,卻不了了之的問題。

吳作樂教授,吳秉翰編著。


想問卻不敢問的數學問題
 


想問不敢問的問題
(試閱)


想問卻不敢問的數學問題
(第一章 最常見的問題)


想問卻不敢問的數學問題
(第二章 生活)

 


想問卻不敢問的數學問題
(第三章 符號)


想問卻不敢問的數學問題
(第四章 代數)


想問卻不敢問的數學問題
(第五章 幾何)


想問卻不敢問的數學問題
(第六章 其他)

Math Questions dare not to ask (English)

This is a very special math book designed for Android.
Our aim is not to provide drills for math problems but to answer many questions students dare not to ask in class. Consequently,this book is an excellent resource for both teachers and students in bridging the gaps among basic Math concepts.
Why are there math questions that one dares not to ask?

For the students from K1 to K9, there are too many mathematical questions that they dare not to ask. While some problems are conventional, other problems occur due to the teachers’ lack of explanation. For example, why minus 1 times minus 1 equals plus 1?
In some cases, the curriculum requires teachers to move on to the next phase before they have the opportunity to fully explain potential questions that students have. With new questions arising every year, teachers forget about the previous never-before-explained questions.
At times students are even accused of not paying attention in class when in fact they do not fully understand a concept and need for it to be clarified. Students ask questions because they immediately want to have answers.
Dodging the questions will only make students feel like there are even more concepts and formulas to understand and memorize, and they are discouraged from asking questions after they have been dragged for too long.
This results in students feeling ever more fearful of asking questions, and eventually developed so called math-anxiety.

This book collects many elementary school- and middle school-level math questions together in the hope of helping people understand the questions that have long since confused but to which we have never found the answers.
We will explain these questions in the most basic, simple and intuitive ways that are much more efficient and systematic than searching for answers on the Internet. This book includes ways of explaining questions that are diverse and can be understood by all age groups, helping students to see how math and life are closely related to each other.

  1. This book collects many elementary school- and middle school-level math questions together in the hope of helping people understand the questions that have long nce confused ,and solve math-anxiety.
  2. We will explain these questions in the most ba c, mple and intuitive ways that are much more efficient and systematic than searching for answers on the Internet.
  3. This book includes ways of explaining questions that are diverse and can be understood by all age groups, helping students to see how math and life are closely related to each other.


Math Questions dare not to ask

Our aim is not to provide drills for math problems but to answer many questions students dare not to ask in class.


MathQuestionsDareNotToAsk-Free

Our aim is not to provide drills for math problems but to answer many questions students dare not to ask in class.

 


國中數學祕笈卡

提供國中3年該記的公式及流程。國中數學祕笈卡方便隨身記憶,放在手機內,等車及等人時,可以閱讀公式與觀念,及圖形,考前也能快速讀過一遍。