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EMA1501 Assignment 2 Semester 1 Memo | Due 13 June 2025

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EMA1501 Assignment 2 Semester 1 Memo | Due 13 June 2025. All questions answered with referencing. Question 1 1.1 Emergent mathematics is the term we use to describe how children construct mathematical concepts and acquire mathematical skills from birth. With the above statement in mind, differentiate between mathematical concepts and mathematical skills, and provide an example for each. Please do not use the examples from the guide, come up with your own. (6) 1.2 DEFINE the following terms and GIVE TWO EXAMPLES for each. 1.2.1 Number sense (3) 1.2.2 Patterns (3) 1.2.3 Measurement (3) 1.2.4 Assessment (3) 1.2.5 Data handling (3) (21) Question 2 There are many approaches to teaching and learning and different theories on how children develop and learn have been documented over the years. 2.1 Name three cognitive development theorists discussed in emergent mathematics. (3) 2.2 In the three tables below, write the name of each theorist and compare and contrast five facts on each one of their theories on how children learn. Please do not copy directly from the study guide – paraphrase, consult other sources and cite them properly. Question 3 Children in the early years of schooling need to experience data handling through practical, hands-on activities. 3.1 Identify and provide an example of a problem statement (question) appropriate for Grade R that can be solved through the data-handling process. (2) 3.2 Explain how you would apply the four stages of the data-handling process to solve the problem you identified. (8) 3.3 Justify why learners should be able to sort objects before they can do data handling. (2) (12) Question 4 Most children are interested in nature and enjoy investigating their surroundings and patterning provides them with opportunities to do that. 4.1 In YOUR OWN WORDS, analyse the importance of patterns in emergent mathematics. (2) 4.2 Categorise the five different modes of how patterns can be presented to learners in emergent mathematics. (15) 4.3 Categorise the patterns shown below: (3) 4.3.1 4.3.2 4.3.3 (20) Question 5 An object is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line can be drawn on it, showing that both sides are the same. In emergent mathematics, we mainly concentrate on the line of symmetry. A line of symmetry divides a figure into two mirror-image halves. When teaching the of concept symmetry to learners, plan an activity you will use to help learners who have difficulties understanding the concept. Please include your OWN drawings/illustrations. (6) Question 6 Time is naturally more challenging for children to understand than other forms of measurement. This is because time cannot be seen or touched like the other concepts. 6.1 With the above statement in mind, discuss the importance of the Daily Programme in the Grade R classroom. (2) 6.2 Suppose you are Mr Sibanyoni, a Grade R educator. You have a class of 20 learners and their names are: Peter, Sipho, Muhamad, Rose, Zanele, Ashiv, Vuyo, Mika, Zola, Siphiwe, Emma, Tebogo, Jan, Zara, Khanyi, Thomas, Schalk, Ayesha, Lerato and Tyrone. 6.2.1 Design a birthday chart in which you record each child's birthday (date) in the months of the chart. (3) 6.2.2 Draw a picture relevant to birthdays in each of the months (be creative, do not copy the cupcakes from the study guide). (3) (8) TOTAL: 100

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2024/2025
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 Question 1

1.1. Emergent mathematics is the term we use to describe how children construct mathematical
concepts and acquire mathematical skills from birth. With the above statement in mind,
differentiate between mathematical concepts and mathematical skills, and provide an example
for each. Please do not use the examples from the guide, come up with your own.

Emergent mathematics refers to how young children begin to develop mathematical understanding
and abilities from birth, often through interaction with their environment. Within this process, it is
important to distinguish between mathematical concepts and mathematical skills. (EMA1501, Study
Guide. 2018:2)

A mathematical concept is the understanding of an idea or attribute in mathematics. It is about
grasping what something means rather than doing something with that understanding. For example,
when a child learns that a "triangle" is a shape with three sides, they are developing a mathematical
concept. They recognise and understand what makes a shape a triangle, even if they cannot yet draw
one accurately or name all its properties. (EMA1501, Study Guide. 2018:125)

A mathematical skill, in contrast, is the ability to apply mathematical knowledge in a practical way.
It involves using what one understands to carry out a task correctly. For instance, after understanding
what a triangle is, a child might develop the skill of identifying triangles in a group of different
shapes. This shows they can apply their conceptual knowledge to distinguish triangles from squares,
circles, or rectangles. (EMA1501, Study Guide. 2018:129)

1.2. DEFINE the following terms and GIVE TWO EXAMPLES for each.

1.2.1. Number sense

Number sense refers to a child’s ability to understand numbers and how they relate to one another. It
includes recognising quantities, comparing values, and using numbers meaningfully in everyday
situations. For example, a child who knows they are five years old shows number sense by
connecting a number to a real-life context. Another example is a child recognising that four is more
than two, showing an understanding of numerical relationships. (EMA1501, Study Guide. 2018:26)

1.2.2. Patterns

Patterns involve repeated sequences that follow a specific order or rule. They help children make
predictions and recognise order in the world around them. One example of pattern recognition is
when a child participates in a song with repeated movements, such as “head, shoulders, knees and
toes,” where the sequence follows a predictable pattern. Another example is when a child uses
crayons to create a repeated colour sequence, like pink–orange–pink–orange. (EMA1501, Study
Guide. 2018:50)
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