Article status: Draft

Time Estimate for Reading: 15 min

Learning Objectives: Fractions, Introductory Mathematics

Effort Required: low

Pedagogy Model: Collaborative Learning

Prior Math Tools: Counting numbers and basic arithmetic

Authors: Rithanya, Srishti and Keerthana

We wanted to start a group containing members from 5th standard to masters graduates and working professionals. Also a few business people. The group size is limited to 25 to begin with.

The idea is to see how different members understand and respond to a questions. It would depend on existing knowledge, own strengths, method of visualization etc

This simple topic happened to become a great experience.

How do we interpret or visualize a fraction. for example 3/5. I had problem with fractions for long..

- rewrite the same as 3 * 1/5.

- reread the fraction as "divide 1 piece into 5 pieces and take 3 of them out of it".

Take one piece of dough, divide it into 5 balls (balls are not shown of equal size but the idea is captured) and roll 3 of them into a chappathi or poori.

An youngster just getting introduced to fractions.

Got it right in dividing one piece into 5. And drawn with love to their parents. superb.

Though this representation is not a correct mathematical answer, it laid foundation for new learning.

Time Estimate for Reading: 15 min

Learning Objectives: Fractions, Introductory Mathematics

Effort Required: low

Pedagogy Model: Collaborative Learning

Prior Math Tools: Counting numbers and basic arithmetic

Authors: Rithanya, Srishti and Keerthana

**Background for this topic (you may skip this section on move on the question section)**We wanted to start a group containing members from 5th standard to masters graduates and working professionals. Also a few business people. The group size is limited to 25 to begin with.

The idea is to see how different members understand and respond to a questions. It would depend on existing knowledge, own strengths, method of visualization etc

This simple topic happened to become a great experience.

**The question:**How do we interpret or visualize a fraction. for example 3/5. I had problem with fractions for long..

**Simple answer and visualization:**- rewrite the same as 3 * 1/5.

- reread the fraction as "divide 1 piece into 5 pieces and take 3 of them out of it".

**Perspective of an artist:**Take one piece of dough, divide it into 5 balls (balls are not shown of equal size but the idea is captured) and roll 3 of them into a chappathi or poori.

**Perspective of a doodler and a youngster**An youngster just getting introduced to fractions.

Got it right in dividing one piece into 5. And drawn with love to their parents. superb.

Though this representation is not a correct mathematical answer, it laid foundation for new learning.

Seeing 1/5 as dividing a circle into 5 equal parts. She just learned about degrees and circles. only children can break the monotony. She took a part of the question.. Just the 1/5 part.

**Fraction Multiplication:**

Actually, application of multiplication of fractions was not in the scope of this question. But once we got the cake drawing from rithu, we have got a better understanding of fractions.

**Another example:**

Take 3 apples, cut it into 5 equal parts and share it with 3 people.

There is nothing wrong with this answer. Mathematically correct. But, a bit difficult to visualize.

Though the topic looks trivial, visualizing fraction was a major problem in my childhood.

The world of fractions becomes interesting with irrationals (square root of 2, 3 etc) and transcendental's (pi and e). Let us get to know them in the following articles.