Type:
Test Bank
Resource:
Helping Children Learn Mathematics
Edition:
10th Edition
Author(s):
Robert E. Reys Mary Lindquist Diane V. Lambdin Nancy L. Smith
Chapter 1: School Mathematics in a Changing World Possible Questions for Assessment and Evaluation 1.
T or F: The text states that the prevalent view of mathematics is mainly focused on computation with numbers. Answer: F Sec Ref: What is Mathematics? Page Ref: 2
2.
All of the following are topics that should be covered in a mathematics classroom, except: A. B. C. D. E.
algebra geometry measurement geography probability
Answer: D Sec Ref: What is Mathematics? Page Ref: 2 3.
Using your own words, explain what is meant by each of the following five views of mathematics: Mathematics is a study of patterns and relationships Mathematics is a way of thinking Mathematics is an art Mathematics is a language Mathematics is a tool Answer: Answers vary. Sec Ref: What is Mathematics? Page Ref: 3
4.
Give two specific examples from the elementary school curriculum to illustrate each of the following views of mathematics: Mathematics is a study of patterns and relationships Mathematics is a way of thinking Mathematics is an art Mathematics is a language Mathematics is a tool -
Answer: Answers vary. Sec Ref: What is Mathematics? Page Ref: 3 5.
The text answers a question, “What is mathematics?” Which of the following is NOT a part of that description? A. B. C. D. E.
a language a tool a set of numbers a study of patterns and relationships a way of thinking
Answer: C Sec Ref: What is Mathematics? Page Ref: 3 6.
T or F : In terms of the time devoted to it, mathematics is second only to science. Answer: F Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 3
7.
Which of the following groups was responsible for establishing mathematics standards? A. B. C. D. E.
The National Math Council The Math Association of America The National Council of Teachers of Mathematics The North American Math Council None of the above
Answer: C Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 2-3 8.
Suppose you were asked to serve on a committee to come up with mathematics standards. Explain the three needs that you should take into consideration. Answer: Should mention and explain the needs of the subject, the needs of the child and the needs of society. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 3
9.
T or F The three needs that should be taken into consideration when thinking about the mathematics curriculum are the needs of society, the needs of teachers, and the needs of the child. Answer: F Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 3
10.
The text states that “mathematics continues to change.” In light of that, explain how and in what ways mathematics has changed. Answer: Answer should include ideas such as shifting from social usefulness to unifying themes; new content being added at the elementary level, and other topics being introduced at earlier grade levels. Sec Ref: What Determines the Mathematics Taught? Page Ref: 3
11.
The text mentions three general factors (needs) that should be considered when thinking about the mathematics curriculum. These three include the following: A. subject, child, society B. subject, child, teacher C. parent, child, teacher D. child, society, school E. parent, teacher, society Answer: A Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 3
12.
When a teacher believes that students will need to be able to solve problems and communicate so we can advance our technological world, he or she is considering the needs of the: A. subject B. child C. government D. parent E. society Answer: E Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 4
13.
A teacher considers that she must first review whole numbers before proceeding with a lesson on fractions. Which of the following needs is she most concerned with: A. child B. society C. teacher D. subject E. international competition Answer: D Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 3
14.
T or F The Committee of Seven recommended teaching mathematics topics according to students’ mental age. Answer: T Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 4
15.
Explain what is meant by each of the following terms as they apply mathematics instruction and learning: Mental discipline – Incidental learning – Field theory – Answer: Mental discipline, working with mathematics problems strengthens the mind; incidental learning, children would learn as much mathematics as they needed and would learn it better if it was not systematically taught; field theory, emphasis on a planned program to encourage the development of insight and understanding. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 4
16.
T or F The NCTM standards are prescriptive, meaning every state must use them. Answer: F Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 5
17.
The No Child Left Behind legislation calls for annual testing in reading and mathematics each year in grades: a. 1-3 b. 3-5 c. 3-8 d. 5-9 e. 4-9 Answer: C Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 5
18.
Explain what is meant by “high-stakes assessments”. Answer: Assessments that are used to place students, what grade to record on their report card, whether to promote students to the next grade, and so on. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 5
19.
What is the significance of the Common Core State Standards Initiative? Answer: An attempt to have a common understanding across the United States of what students are expected to learn at each grade level. It will also bring more standardization to the mathematics education our of youth. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 6
20.
Explain what is meant by each of the following principles: Technology Curriculum Teaching Learning Assessment Equity Answer: Answers vary. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 6-7
21.
The NCTM Principles and Standards document includes some underlying principles that should guide school mathematics programs. Which of the following is NOT one of those principles? A. assessment B. learning C. teaching D. technology E. computation Answer: E Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 6-7
22.
Do you agree or disagree with the following statement: Calculators should not be used because then students will not know how to compute. Explain your answer. Answer: Answers vary. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 7
23.
One of the NCTM Principles states that we should have high expectations for all students. Which Principle is this? A. Curriculum B. Equity C. Learning D. Teaching E. Assessment Answer: B Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 6
24.
What does the word equity mean? Is it synonymous with equality? Give examples to support your answer. Answer: Answers vary. Sec Ref: What Determines the Mathematics Being Taught? Page Ref: 6