Answers
PFC102R Teaching Mathematics and Natural Science exam answers
- Course
- Institution
Worked out answers from past papers. Perfect for exam revision.
[Show more]
3 reviews
By: SamSamp • 2 year ago
By: sanelezulu707 • 3 year ago
I'm pleased
By: mabotlhe • 4 year ago
Seller
Follow
laurenj
Reviews received
Content preview
Teaching and Learning MathematicsQuestion 1:
1.1 Instrumental understanding: doing something without real understanding
1.2 Less to remember: a benefit of rational understanding
1.3 An integrated network of concepts can also be called: cognitive schemes
1.4 Constructivist theory: The idea that learners are creators of their own learning, that integrated
networks, or cognitive schemas, are both a product of constructing knowledge and tools with which
additional new knowledge can be constructed and that the idea of reflective thought being used to
modify our existing schemas to incorporate new ideas.
1.5 Understanding is a measure of the quality and quantity of connections that an idea has with existing
ideas.
Question 2:
2.1 A Grade 6 learner added the fractions to obtain the answer shown below
+ + = =
2.1.1 Is the calculation correct?
No, it isn’t. + + = + + =
2.1.2 Explain the misconception that they displayed in their calculation:
The misconception is that the learner added the fractions as you would if they were ‘like
fractions’. That is that they added all the numerators together and then added all the
denominators together. However, these fractions are ‘unlike fractions’ and when the
denominators are different, we have to find a whole that 5, 10 and 20 can divide into equally.
, 2.1.3 What teaching strategies could be used to assist the learner to do the given calculations
correctly?
The learner could use the area model or the length model to illustrate the addition. This could
help in their understanding of why we use lowest common multiples and lead them to the
correct answer.
2.2
2.2.1 Arrange the numbers from small to large and then plot them on a number line 10cm long and
drawn to scale.
0.01 0.09 0.1 0.5 0.9 0.99
2.2.2 0.9-0.5=0.4
2.2.3 0.9+0.1=1
2.2.4 I believe it could be useful to learners as they can visualise the numbers on the timeline and by
counting spaces up or down, they are able to solve the sums on their own.
2.3 Instrumental understanding is doing something without understanding, for example, doing a simple
equation based on a formula. Relational understanding is knowing what to do and why.
2.4 Rational understanding allows learners to give examples, find equivalencies and build connections
among ideas wheras instrumental understanding only allows learners to complete one idea without
understanding why.
2.5 Problem solving is when one finds the solution to a particular situation by a means which was not
immediately obvious.
2.6 Three ideas to make lessons more effective:
1. Begin where the learners are, not where you as teachers are.
2. Teaching should begin with the ideas that learners already have – the ideas they will use to create
new ones.
3. Engage learners in tasks or activities that are problem based and that require thought.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller laurenj. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.24. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
59325 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now