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快速十位加法练习（第二版）

快速十位加法练习（第二版）
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2020-04-19 04:28
数列变换几何作图滑块动画函数图像
所属专题 Elementary School Applets
① 本范例通过可视化十位分组（Quick Tens）的方式，演示两位数加法的竖式与位值概念，帮助学习者直观理解进位过程。② 核心数学概念包括位值（个位、十位）、加法进位、十进制计数系统，以及通过图形化表示（如点阵、平片）强化数感。③ 作图要点：使用GeoGebra的Sequence、Flatten、Textfield、Mod、Segment等命令构建可交互界面，包含水平/垂直间距、点阵、平片等对象，并设置输入框（InputBox1/2）接收两个加数，通过Mod命令拆分个位和十位，利用多个数组（如destinationarraydotsbig、smallarrayfirstbig等）动态显示结果，还包含重置按钮（Reset）和显示控制（showfirstones等）。④ 适合小学低年级（如一年级下学期至二年级）数学教学，也可用于家长辅导或学生自主练习，通过动手操作理解加法进位原理。

GeoGebra 命令及参数

  1. Sequence(Sequence[(x(A) + (i * horizontalspacing), y(A) + (j * verticalspacing)), j, 0, verticaldots - 1], i, 0, horizontaldots - 1) → destinationarraydotsbig
  2. Flatten(destinationarraydotsbig) → destinationonesflat
  3. Textfield(firsttext) → InputBox1
  4. Textfield(secondtext) → InputBox2
  5. Mod(firstnumber, 10) → firstones
  6. Mod(secondnumber, 10) → secondones
  7. Sequence(Sequence[(x(B) + (i * smallhorizontalspacing), y(B) + (j * smallverticalspacing)), j, 0, smallverticaldots - 1], i, 0, smallhorizontaldots - 1) → smallarrayfirstbig
  8. Sequence(Sequence[(x(C) + (i * smallhorizontalspacing), y(C) + (j * smallverticalspacing)), j, 0, smallverticaldots - 1], i, 0, smallhorizontaldots - 1) → smallarraysecondbig
  9. Flatten(smallarrayfirstbig) → smallonesfirstflat
  10. Flatten(smallarraysecondbig) → smallonessecondflat
  11. Sequence(Element[smallonesfirstflat, i], i, 1, firstones) → showfirstones
  12. Sequence(Element[smallonessecondflat, i], i, 1, secondones) → showsecondones
  13. Sequence(Sequence[(x(D) - (i * smalltenswidth), y(D) + (j * smalltensheight)), j, 0, smalltensrows - 1], i, 0, smalltenscolumns - 1) → smalltensfirstbig
  14. Sequence(Sequence[(x(E) - (i * smalltenswidth), y(E) + (j * smalltensheight)), j, 0, smalltensrows - 1], i, 0, smalltenscolumns - 1) → smalltenssecondbig
  15. Flatten(smalltensfirstbig) → smalltensfirstflat
  16. Flatten(smalltenssecondbig) → smalltenssecondflat
  17. Sequence(Segment[Element[smalltensfirstflat, (2 * i) + 1], Element[smalltensfirstflat, (2 * i) + 2]], i, 0, firsttens - 1) → showfirsttens
  18. Sequence(Segment[Element[smalltenssecondflat, (2 * i) + 1], Element[smalltenssecondflat, (2 * i) + 2]], i, 0, secondtens - 1) → showsecondtens
  19. Flatten(Sequence[Sequence[(x(F) - (i * destinationtenswidth), y(F) + (j * destinationtensheight)), i, 0, destinationtenscolumns - 1], j, 0, destinationtensrows - 1]) → destinationtensflat
  20. Sequence(Translate[Element[showfirstones, i], Vector[(Vector[Element[smallonesfirstflat, i], Element[destinationonesflat, i]] * slideit)]], i, 1, firstones) → swooponesfirst
  21. Sequence(Translate[Element[showsecondones, i], Vector[(Vector[Element[smallonessecondflat, i], Element[destinationonesflat, i + firstones]] * slideit)]], i, 1, secondones) → swooponessecond
  22. Segment(G, H) → f
  23. Segment(I, J) → g
  24. Mod(total, 10) → totalones
  25. Mod(total, 10) → finalones
  26. Segment(Element[destinationonesflat, 1], Element[destinationonesflat, (10 * regroupit)]) → h
  27. Segment(K, L) → i
  28. Segment(M, N) → j
  29. Sequence(Vector[Element[smalltensfirstflat, (2 * i)], Element[destinationtensflat, i]], i, 1, firsttens) → slidefirsttensvectors
  30. Sequence(Vector[Element[smalltenssecondflat, (2 * i)], Element[destinationtensflat, i + firsttens]], i, 1, secondtens) → slidesecondtensvectors
  31. Sequence(Translate[Element[showfirsttens, i], Vector[(Element[slidefirsttensvectors, i] * slideit)]], i, 1, firsttens) → swooptensfirst
  32. Sequence(Translate[Element[showsecondtens, i], Vector[(Element[slidesecondtensvectors, i] * slideit)]], i, 1, secondtens) → swooptenssecond