TMN3704
Assignment 4
DUE 14 August 2025
,TMN3704
Assignment 4
DUE 14 August 2025
Section A: Mathematical Thinking and Understanding
Question 1.5.1: What error did Moeli make?
Problem Statement:
Moeli attempted to simplify the addition of fractions:
His response:
Step 1: Identify conceptual misunderstanding
Moeli applied a multiplication rule to an addition problem. The operations and
show a misunderstanding of fraction addition.
Step 2: Identify arithmetic inconsistency
Even if one accepted the incorrect steps, simplifies to , not . The arithmetic is
flawed.
Final Answer:
Moeli’s errors include:
• Misapplication of multiplication rules to addition.
• Unjustified manipulation of numerators and denominators.
• An incorrect final simplification.
1
, Question 1.5.2: What remedial strategy would you use? Explain and illustrate.
Remedial Strategy: Use of Least Common Denominator and Visual Models Correct
Procedure:
Convert to like denominators (LCM of 3 and 6 is 6):
Visual Illustration:
Use fraction bars to show that is equivalent to , then combine + = . Learners
observe 6/6 as one whole and 3/6 as a half.
Final Answer:
By combining procedural teaching (common denominators) and concrete models
(visual aids), learners develop both conceptual and procedural understanding.
2
Assignment 4
DUE 14 August 2025
,TMN3704
Assignment 4
DUE 14 August 2025
Section A: Mathematical Thinking and Understanding
Question 1.5.1: What error did Moeli make?
Problem Statement:
Moeli attempted to simplify the addition of fractions:
His response:
Step 1: Identify conceptual misunderstanding
Moeli applied a multiplication rule to an addition problem. The operations and
show a misunderstanding of fraction addition.
Step 2: Identify arithmetic inconsistency
Even if one accepted the incorrect steps, simplifies to , not . The arithmetic is
flawed.
Final Answer:
Moeli’s errors include:
• Misapplication of multiplication rules to addition.
• Unjustified manipulation of numerators and denominators.
• An incorrect final simplification.
1
, Question 1.5.2: What remedial strategy would you use? Explain and illustrate.
Remedial Strategy: Use of Least Common Denominator and Visual Models Correct
Procedure:
Convert to like denominators (LCM of 3 and 6 is 6):
Visual Illustration:
Use fraction bars to show that is equivalent to , then combine + = . Learners
observe 6/6 as one whole and 3/6 as a half.
Final Answer:
By combining procedural teaching (common denominators) and concrete models
(visual aids), learners develop both conceptual and procedural understanding.
2
