CoE level 200 B.ed students- UEW past questions available here(Theories of learning mathematics)

Theories  in the Learning Mathematics


Duration:  30Minutes

1. Which one of the following describes the nature of the mathematics classroom that is most likely to promote effective mathematics teaching? It should be an environment where learners………………….

A. are rarely respected for their ideas

B. are usually ridiculed for expressing ideas

C. often find doing mathematics threatening

D. usually feel comfortable taking risks

2. How many matches are played together in a knockout tournament involving 36 teams?

A. 19

B. 34

C. 35

D. 37

3. Which of the following is not one of the essential characteristics of learning?

A. Learning is a continuous process based on experience.

B. Learning is a holistic process of adaptation to the world.

C. Learning involves transaction between the person and the environment.

D. Learning can take place even without environment

4. When students with and without disabilities have full-time membership and access to learning in heterogeneous general education classrooms within their neighborhood is termed as ………………………

A. Equity

B. Equality

C. inclusiveness 

D. Involvement

5. The following view mathematical knowledge is a collection of unrelated rule, facts, and skills that are indubitably true.

A. Social Constructivists

B. The Platonists

C. behaviourists

D. The instrumentalist

6. The primary role of the teacher is to serve as a guide who effectively organises the conditions for learning and then exposes learners to the conditions. This statement is ……………………… learning theory

A. true about Cognitivist

B. false about Cognitivist

C. true about Behaviourist

D. false about Constructivist

7. Which psychological term fits the description, “an event which increases the frequency of the response it follows”

A.  Association

B. Reinforcement

C. Reconstruction

D. Stimulus – response

8. Which one of the following is an appropriate reason for teaching and learning mathematics in schools?  Because mathematics………………………………..

A. cannot be taught and learnt at home

B. is believed to develop the powers of logical reasoning

C. is fun and magical and should be handled by school teachers

D. is perceived to be a difficult subject

9. The teaching and learning model that suggests that students are to experience and think about a particular mathematics concept on enactive, iconic and symbolic levels is attributed to ……………………

A. Jerome Bruner

B. Zoltan dienes

C. Jean Piaget

D. Richard Skemp

10. What is meant by “effective mathematics teaching”, it is teaching that requires the mathematics teacher to ………………………………………

A. determine what learners need to know and tasking them with challenging questions to solve

B. find out the content to be taught, learn more about this content and then impart the knowledge gained to the learners

C.  Understand what learners know and need to learn and then challenging and supporting them to learn it well

D. Understand what learners know and then challenging them to solve complex question

11. Learning in the iconic mode involves using……………………………….

A. abstract symbols

B. hands- on experiences

C. manipulative instruments

D. visual medium like pictures

12. The involvement of learners in real objects through the use of manipulatives during learning sessons occurs mainly at the ……………………………………..

A. abstract

B. enactive

C. iconic

D. symbolic

13. . Which of the following descriptions are true about learning? 

​I. Learning is directed to specific undesirable goals.

​II. Learning is a holistic process of adaptation to the world.

​III. Learning is a continuous process based on experience.

A. I & II only

B. I & III only

C. II & III only

D. I, II, III 

14. Which form of application involves modification of the internal cognitive structure to conform to the new information?

A. Accomodation

B. Assimilation

C. Association

D. Discrimination

15. All the following are the implications of inclusive education in our classrooms except

A. Learning should be linked to the learner’s background and to their prior experiences, interests, potential and capacities.

B For learning to meaningful, teachers should align learning to learners’ ability

C. The active involvement of the learners in the selection and organisation of learning experiences should be paramount.

D. Teachers should not make learners aware of their importance 

16. A reasonably or scientifically accepted explanation for a fact or event in teaching and learning is known as ……………….

A. theory

B. formula

C. assumption

D. Law

17. Which one of the following learning theories is much concerned with both how children learn and with what they learn, placing highest premium on the teaching and learning process?

A. Stimulus – Response

B. Cognitivism

C. Behaviourism

D. Associationism

18. The manner in which teachers and learners communicate during tasks-the ways of representing, thinking, and talking about tasks is known as ………………………

A. discourse

B. environment

C. analyses

D. task

19. One of the following is the implication of the direct transmission belief about teaching and learning mathematics.

A. Instruction should be built around problems with clear, correct answers, and around ideas that most students can grasp quickly.

B. Students should be allowed to think of solutions to practical problems

C. Instruction should be built around problems with clear, correct answers, and around ideas that most students can grasp quickly.

D. Thinking and reasoning processes are more important than specific curriculum content.

20. . The conceptual frameworks that describe how information is absorbed, processed and retained during learning are collectively refered to as…………………………………………

A. Associationist theories

B. Cognitive theories

C. Experiential theories

D. LearningThories

  1. What is Mathematics?
  2. Why do we teach Mathematics? (i.e importance of Mathematics to JHS teacher)
  3. What does it mean to teach and learn Mathematics?
  4. How does Mathematics relate to society?
  5. Outline and explain the importance of Mathematics to society?
  6. What is the meaning of each of the following concepts?
    a) Beliefs
    b) Attitudes
    c) Values
  7. Write a short personal philosophy of teaching and learning of Mathematics in JHS.
  8. How does teacher’s values and philosophies of Mathematics influence pupils’ way of
    learning Mathematics?
  9. Examine the Beliefs underlying the current JHS official curriculum and inclusive
    classroom practices.
  10. What is the meaning of each of the following concepts?
    a) Inclusivity
    b) Equity
    c) Differentiated learning
    d) Scaffolding
    Assignment (submission date is 18th March , 2021) Mode of delivery( Answer all Questions
  11. How does teacher’s Knowledge and understanding of inclusivity and equity influence their interpretation of the beliefs underlying JHS Mathematics curriculum?
  12. What are Ethics and Values of teaching? – teachers’ standards, child’s rights, and laws protecting children)
  13. Write short notes on the following;
    a) Socio-cultural perspectives of learning
    b) Activity theory perspectives of learning
    c) Situated cognition perspectives of learning
  14. Write short notes on the following perspectives learning:
    a) Johann Heinrich Pestalozzi
    b) Friedrich Froebel, Maria Montessori
    c) Jean Piaget
    d) Jerome Bruner
  15. Outline and explain the different perspectives of the following schools of thought:
    a) Constructivism
    b) Behaviourism
    c) Cognitivism
  16. What are the implications of each of the following theories of learning? a) Constructivism,
    b) Behaviorism and
    c) Cognitivism
  17. How does children understand Mathematics concepts of;
    a) Size
    b) Shape

c) Patterns

  1. How will you help children to count verbally (first forward, and then backward)?
  2. How does children identify more or less of a quantity of an object?
  3. Describe the different theoretical views on children’s developmental stages and their
    implications to teaching and learning of Mathematics.
  4. Outline the theories that explain physical language, speech, social, emotional, and
    cognitive and intellectual development.
  5. Outline and explain principles of multiple intelligences.
  6. Describe the dimensions of Howard Gardner’s multiple intelligences.
    a) What is/are the differences between multiple intelligence and learning styles?
  7. Outline how the dimensions of Howard Gardner’s multiple intelligences can be used in
    teaching early grade children.
    25.Outline and analyze the different factors that affect teaching and learning of
    Mathematics in JHS(teachers’ knowledge of major factors that affects early grade children’s learning of mathematics, teachers’ knowledge of learner-teacher ratio factor, attitude, anxiety, etc).
  8. Define the following terms
    a) Emotional intelligence
    b) Social intelligence
  9. Outline and analyze the different roles that teachers play in developing children’s
    emotional intelligence.
  10. What social qualities are to be nurtured in children in promoting effective learning of
    Mathematics in JHS classroom?
  11. Outline and explain the Qualities of social intelligence of learners in Early Grade
    classroom (acceptance, tolerance, striving for goal, etc).

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