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Mathematics

Useful ICT Tools for Teaching and Learning of Mathematics

Natural-fit 

  1. Geogebra https://www.geogebra.org/
  2. Geometer Sketchpad http://www.dynamicgeometry.com/
  3. Mathematics PlaySpace http://tinyurl.com/MAPS-moe
  4. Desmo https://www.desmos.com/
  5. DuDaMath http://www.dudamath.com/
  6. PhotoMath https://www.photomath.net/en/
  7. Microsoft Math Solver app that gives me free step-by-step instructions, graphs and more. Download it here: https://math.microsoft.com/en?ref=invite
  8. The free AI-Powered Learning solution for the 11-16 Maths curriculum https://blutick.com/  
  9. https://www.wolframalpha.com/input/?i=4+*+7&lk=3 wolframalpha
  10. https://gsuite.google.com/marketplace/app/mathtype/742924286153?utm_source=wiriscom wiris mathtype
  11. https://www.weareteachers.com/best-math-websites/

Virtual Manipulatives

  1. National Library of Virtual Manipulatives http://nlvm.usu.edu/en/nav/vlibrVirtual%20ary.html
  2. eduplace http://www.eduplace.com/kids/mw/manip/mn_2.html
  3. Mathplayground http://www.mathplayground.com/math_manipulatives.html
  4. National Council of Teachers of Mathematics: Illuminations http://illuminations.nctm.org/Search.aspx?view=search&type=ac
  5. Flash Apps  Number and Algebra Measurement and Geometry Statistics http://iwant2study.org/lookangejss/math/flash/Primary%20Level/
  6. NRICH Enriching Mathematics http://nrich.maths.org/frontpage
  7. Open Educational Resources https://sg.iwant2study.org/ospsg/index.php/interactive-resources/mathematics
  8. Phet https://phet.colorado.edu/en/simulations/category/math
  9. Transum https://www.transum.org/Software/

Other Curators

  1. Dr YEO Boon Wooi Joseph http://math.nie.edu.sg/bwjyeo/ Mathematics Resources and Maths Online

Online Games 

  1. Mathplayground http://www.mathplayground.com/
  2. Coolmath4kids https://www.coolmath4kids.com/
  3. Arcademics http://www.arcademics.com/
  4. Fuel the brain http://www.fuelthebrain.com/

Video

  1. YouTube https://www.youtube.com/channel/UCq0EGvLTyy-LLT1oUSO_0FQ Eddie Woo
  2. TeacherTube https://www.teachertube.com/video/i-video-9142

 

When Quadratics Leave the Real Line: An AI Complex-Root Explorer

Complex Quadratic Root Explorer develops Complex roots of quadratic equations through six visual, misconception-first stages.

The discriminant, exact algebra and Argand locations are linked in one progression. Non-real roots become interpretable points with symmetry and magnitude, so the quadratic formula is not an isolated manipulation.

Details
Parent Category: 4 Complex numbers
Category: 4.1 Complex numbers expressed in Cartesian form
Hits: 3059

The Missing Root Detective: AI and the Conjugate-Root Theorem

Conjugate-Root Polynomial Detective develops Conjugate roots of a polynomial equation with real coefficients through six visual, misconception-first stages.

A theorem becomes a consistency-checking tool. Learners use a visible missing mirror root to reconstruct factors, infer coefficients and audit claims about real-coefficient polynomials.

Details
Parent Category: 4 Complex numbers
Category: 4.1 Complex numbers expressed in Cartesian form
Hits: 3037

Complex Operations as Geometry: An AI Argand Transformation Workshop

Argand Transformation Workshop develops Geometrical effects of conjugation, negation, addition, subtraction, and multiplication by i through six visual, misconception-first stages.

Five algebraic operations become transformations learners can predict and test: reflection, half-turn, translation, vector difference and a 90-degree rotation. The final synthesis uses these ideas to reason about area without coordinates.

Details
Parent Category: 4 Complex numbers
Category: 4.1 Complex numbers expressed in Cartesian form
Hits: 3025

Details
Parent Category: 4 Complex numbers
Category: 4.1 Complex numbers expressed in Cartesian form
Hits: 10896

From Coordinates to Polar Meaning: An AI Argand Observatory

Argand Modulus and Argument Observatory develops Representation of complex numbers in the Argand diagram, finding the modulus and argument of a complex number through six visual, misconception-first stages.

Modulus and argument are learned as measurable geometric quantities attached to a point, not as disconnected formulas. Dragging, radius and angle cues coordinate Cartesian and polar descriptions while preserving exact values.

Details
Parent Category: 4 Complex numbers
Category: 4.2 Complex numbers expressed in polar form
Hits: 2987

  1. Riemann Integral JavaScript Simulation Applet HTML5
  2. Riemann Integral and Lebesgue Integral JavaScript Simulation Applet HTML5
  3. Definite Integral JavaScript Simulation Applet HTML5
  4. Integral: Algorithms of Numerical Approximation JavaScript Simulation Applet HTML5

Subcategories

Numbers and Algebra Article Count:  76

Whole Numbers Article Count:  43

1. Numbers up to 100 Article Count:  8

2. Addition and Subtraction Article Count:  16

3. Multiplication and Division Article Count:  17

Fractions Article Count:  21

Decimals Article Count:  2

Money Article Count:  3

1. Money Article Count:  2

Measurement and Geometry Article Count:  62

measurement Article Count:  16

1. Length Article Count:  2

2. Time Article Count:  11

geometry Article Count:  27

1. 2D Shapes Article Count:  7

2. 3D Shapes Article Count:  9

1. Angles Article Count:  2

3. Line Symmetry Article Count:  8

Area and Volume Article Count:  17

Statistics Article Count:  0

Pure Mathematics Article Count:  57

1 Functions and graphs Article Count:  12

1.1 Functions Article Count:  6

1.3 Equations and inequalities Article Count:  1

2 Sequences and series Article Count:  11

2.1 Sequences and series Article Count:  5

3 Vectors Article Count:  5

5 Calculus Article Count:  14

5.5 Differential equations Article Count:  9

Probability and Statistics Article Count:  5