Numeracy: Counting to measurinsg

Counting to measuring
converting-laptop

Converting laptop boxes to key organizers – we recently took this order for 40 boxes, explored possibilities, finalized design after one round of feedback and delivered all boxes within 3 days!

We are very proud that the core idea of cutting the laptop box in order to preserve its locking feature came from a BSc-BEd math student, who had just joined Math Space team!

Shapes and Space

shapes and space
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One model, all possible quadrilaterals

Adobe-Express-file

Same for triangles – came few years later!

Workshop Series

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Primary math workshop
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Tray including stationery and mat(h)erials
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3-day Investigation workshop after the primary series. Note the upcycling of the A4 paper box cover to a tray
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Square root spiral made by a participant during the upper primary series; this spiral led to one article by a participant, which further generated a Low Floor High Ceiling (LFHC) article after the 3-day Investigation workshop following this series [See reference for links to both articles]
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Model for algebraic identities (quadratic): each participant made these post lunch, the session reserved for mat(h)erial making

Math Space ran three series of monthly one-day workshops, around 7-9 sessions each – for Primary (Class 1-5), Upper Primary (Class 6-8) and Secondary (9-10) from 2015-2018. Post lunch sessions were usually reserved for mat(h)erial making, one set per school. The Primary and Upper Primary series were followed by 3-day Investigations workshops during summer break.

Math Space was invited to conduct several workshops with government school teachers from several states with a strong emphasis on mat(h)erial making.

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Fractions sectors made by government school teachers in Uttarkashi
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Decimal arrow cards made by a similar set of teachers in Udham Singh Nagar

CMD-Mat(h)erials

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Fraction sectors made from ceiling fan boxes and packed in the plastic cover for the blades – each long packet is sealed at the short end, long end cut open and stapled to create pockets for different sectors – Pokhrama, Bihar
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Teachers engaging with polyominoes after attending an online Math Space workshop
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Straw branches showing power of 2, from northeast India
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Ganitmalas made by students at a government school – initiated by Mantra4 Change (M4C) after they attended primary math workshops by Math Space M4C carried the spirit of Math Space to many states all over the country…😀
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Montessori Mat(h)erials:
To know more about these, read the accompanying article in the same issue

First set of pink tower, brown stairs, long rods, number rods and cylinders with the makers

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Tactile Mat(h)erials for Visually Impaired Learners

  1. Tactile algebra tiles
  2. Tactile fraction wall
  3. Tactile fraction circle and sectors
  4. Tactile number line with bottle caps
  5. Tactile protractor, every 15°
  6. Histogram on geoboard

Website: https://sites.google.com/apu.edu.in/mathspace/home

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Math Space website has the following sections:

  • Mat(h)erials – textbooks, websites, visuals, low-cost Montessori ones, various kits and more includes details of how to make (with layouts) and how to use
  • Numbers and Operations – whole numbers, fractions, decimals, integers, rational numbers, exponent and roots – the thrust is meaning making and a step-by-step build up from first principles
  • Geometry and Spatial Understanding – 2D and 3D shapes, symmetry, mapping 3D to 2D includes a range of resources (animated ppts, worksheets and more) especially for middle stage
  • Measurement – length, weight, capacity etc. – and Mensuration – 2D: perimeter, area etc. and 3D: surface area, volume etc. including exploration of formulas involving pi (π)
  • Patterns and Algebra – patterns, expressions, equations, identities as well as ratio-proportion and percentages
  • Data Handling, Statistics – an in depth look at mean, median, mode – and Probability – spinners, Bayes’ theorem, independence

The work is far from complete. Many resources, especially

  1. exploring fractions through various models,
  2. using the notion of algebra tiles to solve equations and
  3. several visuals, are in the pipeline.

There are explanations, explorations, posters, videos, worksheets, and many animated ppts for demonstrations as well as introducing various concepts and constructions. There are a few Proofs
Without Words (PWW) – more will be included. We also hope to include a game section in future.

  1. Khushboo Awasthi (2017, March). Drawing A Spiral of Square Roots, At Right Angles 6(1). 39-45. https://bit.ly/3Ui2Br6
  2. Swati Sircar, Sneha Titus (2018, March). Newer and Newer Spirals – Open and Shut Cases, At Right Angles 7(1). 66-71. https://bit.ly/4dUW5xh

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