sam.wilberforce
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BA BA Primary Education Quiz on Problem Solving, created by sam.wilberforce on 02/03/2016.

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Problem Solving

Question 1 of 27

1

What does the national curriculum state?

Select one or more of the following:

  • That there is weaknesses in problem solving despite teachers knowing its importance.

  • How children should have varied and frequent practice with more complex problems over time to develop their conceptual understanding.

  • Increased focus is needed on the use and application aspect of mathematics.

Explanation

Question 2 of 27

1

What did ofsted find in 2012?

Select one or more of the following:

  • They found that there is weaknesses in problem solving despite teachers knowing its importance. Children’s investigative skills need to be developed as problem solving is integral to teaching.

  • That children should have varied and frequent practice with more complex problems over time to develop their conceptual understanding.

Explanation

Question 3 of 27

1

What does the Cockcroft report 1982 argue?

Select one or more of the following:

  • That more investigational work is needed and mathematic knowledge needs to be better applied to everyday situations within the curriculum.

  • That there is weaknesses in problem solving despite teachers knowing its importance.

Explanation

Question 4 of 27

1

What may have caused the move away from problem solving?

Select one or more of the following:

  • The national numeracy strategy which introduced the three part numeracy lesson but problem solving was seen as an add on and not integral to everyday mathematics.

  • The new curriculum

Explanation

Question 5 of 27

1

What did the Williams review n 2008 argue?

Select one or more of the following:

  • That investigative skills need to be developed as problem solving is integral to teaching.

  • That increased focus is needed on the use and application aspect of mathematics.

Explanation

Question 6 of 27

1

What is the general look of problem solving today?

Select one or more of the following:

  • Wide variety of problems

  • Currently problem solving is featured on a Friday where children apply their skills in word problems or at the end of the lesson during a plenary. Children often struggle as they have not got the problem solving skills they need.

  • Used occasionally

  • Not present

Explanation

Question 7 of 27

1

What needs to be the assessment within problem solving?

Select one or more of the following:

  • How children solve problems

  • Teachers need to know whether they want to assess their multiplication ect or problem solving in which they may not necessarily get their mathematics correct.

Explanation

Question 8 of 27

1

What did ofsted find in 2013?

Select one or more of the following:

  • That problems are mainly word problems within the classroom

  • That assessing problem solving is a weakness in trainee teachers practice.

  • That there is not enough problem solving

Explanation

Question 9 of 27

1

What is the importance of spoken language in problem solving?

Select one or more of the following:

  • It is essential to develop mathematical vocabulary

  • It allows justification

  • Helps children discuss and choose a method

  • It allows an arguement

Explanation

Question 10 of 27

1

What is a question?

Select one or more of the following:

  • A question which has a solution which involves routine procedures.

  • A task that can be expected to be carried out and is a generic term.

  • When the route to the answer is not clear.

Explanation

Question 11 of 27

1

What is an exercise?

Select one or more of the following:

  • When the route to the answer is not clear.

  • A question which has a solution which involves routine procedures.

  • A task that can be expected to be carried out and is a generic term.

Explanation

Question 12 of 27

1

What is a problem?

Select one or more of the following:

  • A task that can be expected to be carried out and is a generic term.

  • When the route to the answer is not clear.

  • A problem can be a problem for some people and not for others depending on their prior understanding. 11 + 3 may be a problem in reception for example, but not a problem in year 2

Explanation

Question 13 of 27

1

What is problem solving?

Select one or more of the following:

  • When the route to the answer is not clear.

  • It is engaging in a task for which the solution for the method is into known in advance

  • It requires a cognitive process to move from not knowing how to solve the problem to a state of knowing how to solve it.

Explanation

Question 14 of 27

1

What are the advantages of problem solving?

Select one or more of the following:

  • It provides insights into the structure of the subject matter

  • It develops a disposition towards mathematics through attitudes and beliefs.

  • It allows for higher order thinking

  • It is seen to be effective through inspection evidence

  • It allows children to improve their interest in mathematics

  • It is considered the real essence of mathematics (Orton, 1987)

  • It is the highest form of learning as children are likely to go on and solve similar problems (Gagne, 1970)

  • Burton (1984) It extends knowledge, is creative, interesting and provides confidence, enthusiasm and enjoyment.

Explanation

Question 15 of 27

1

How many types of problems are there?

Select one or more of the following:

  • 3

  • 4

  • 5

  • 6

Explanation

Question 16 of 27

1

What is an investigation?

Select one or more of the following:

  • When the route to the answer is not clear.

  • It is a sustained exploration of a mathematical situation, it is distinguished from problem solving because it does not have one clear solution.

Explanation

Question 17 of 27

1

What are the advantages of investigations?

Select one or more of the following:

  • Improves mathematical attainment

  • Suitable for a wide range of attainment levels

  • Sustains pupils interests

  • It develops a disposition towards mathematics through attitudes and beliefs.

  • It allows a creative stand from the pupil

Explanation

Question 18 of 27

1

What are the disadvantages of investigations?

Select one or more of the following:

  • Requires complex thinking processes

  • Difficult to plan for abilities

  • Time consuming

Explanation

Question 19 of 27

1

What are the key ideas when children are problem solving?

Select one or more of the following:

  • Begin in with important information.

  • Not rushing into problems

  • Metacognition

  • Self-regulation

  • Being stuck is good

  • Standing back and reflecting

Explanation

Question 20 of 27

1

Why is RUCSAC not sufficient or good to teach problem solving?

Select one or more of the following:

  • It it complex to understand

  • Only applys to selected word problems

  • Children can be stuck as they cannot read and therefore they cannot understand

  • It has different meanings

Explanation

Question 21 of 27

1

What is Polya 1957s model of problem solving?

Select one or more of the following:

  • I – Identify the problem
    D – Define and represent the problem
    E – Explore possible strategies
    A – Act on the strategies
    L – Look back and evaluate the effects of your activities

  • - Understanding the problem
    - Devising a pan
    - Carrying out the plan
    - Looking back

  • - Entry (how can I gets started, what does the problem tell me, extract information, test guesses, introduce a representation or form of recording)
    - Attack (is there a pattern, can I break the problem down/work backwards/reformulate the problem).
    - Review-Extension (check/is the solution acceptable/can I extend the solution/communication)

Explanation

Question 22 of 27

1

What is Brandford and Stein 1984s model of problem solving?

Select one or more of the following:

  • - Entry (how can I gets started, what does the problem tell me, extract information, test guesses, introduce a representation or form of recording)
    - Attack (is there a pattern, can I break the problem down/work backwards/reformulate the problem).
    - Review-Extension (check/is the solution acceptable/can I extend the solution/communication)

  • - Understanding the problem
    - Devising a pan
    - Carrying out the plan
    - Looking back

  • I – Identify the problem
    D – Define and represent the problem
    E – Explore possible strategies
    A – Act on the strategies
    L – Look back and evaluate the effects of your activities

Explanation

Question 23 of 27

1

What is Burtons 1984s Entry level of problem solving?

Select one or more of the following:

  • How I can get started

  • What does the problem tell me

  • Is the solution correct

  • Test guesses

  • Introduce a representation and form of recording

  • Is there a pattern

Explanation

Question 24 of 27

1

What is Burtons 1984s Attack level of problem solving?

Select one or more of the following:

  • How can I get started

  • Is there a pattern

  • Can I break the problem down

  • Can I extend the solution

  • Can I work backwards or reformulate the question

Explanation

Question 25 of 27

1

What is Burtons 1984s Review level of problem solving?

Select one or more of the following:

  • Is the solution acceptable

  • Can I work backwards and reformulate the question

  • Can I extend the solution

Explanation

Question 26 of 27

1

What sis Davis 1990 identify within problem solving?

Select one or more of the following:

  • Two simultaneous processes within problem solving, the first being building representations and the second being meta-analysis (Assessment of progress)

  • Reflective enquiry is seen as a key part of the problem solving process, this allows children to understand them more fully.

  • Children must practice problem types

Explanation

Question 27 of 27

1

What did Mayer 1985 identify?

Select one or more of the following:

  • That children should practice recognising problem types.

  • Practice recording

  • Practice representing problems

  • Practice reading

  • Practice selecting relevant information

Explanation