Chapter 4 Homework

Constructivism is a theory that: a. encourages frequent corrective feedback. b. compares learning to computer functions. c. relates outcomes and responses to given stimuli. d. emphasizes the phenomenon of people creating meanings from experience.

d. emphasizes the phenomenon of people creating meanings from experience.

Large-scale studies such as the TIMSS would be helpful in understanding learning needs in a specific school district. True or false?

False Large-scale studies are designed to identify national and international trends. Unit: 4-5 Research in Learning and Teaching Mathematics

Student understanding of the equal sign (=) symbolizing two sides of an equation as being the same amount requires conceptual knowledge only. True or false?

False Student understanding of the equal sign (=) symbolizing two sides of an equation as being the same requires both procedural and conceptual knowledge. Unit: 4-3 Learning Procedures

Vygotsky's focus on social interactions and language is evidenced in: a. scaffolding. b. disequilibrium. c. schema. d. assimilation.

a. scaffolding.

Jean Piaget's stages of developmental learning include: a. sensorimotor. b. concept operational. c. concrete operational. d. preoperational. e. formal operational

a. sensorimotor. c. concrete operational. d. preoperational. e. formal operational all except b

When using manipulatives in mathematics instruction, it is best to show multiple representations of ways to solve problems. True or false?

True Dienes' (1969) work with manipulatives indicates that understanding is improved when concepts are shown in multiple representations rather than a single representation (i.e., place value can be demonstrated with base-10 blocks, bundles of stirring sticks, and Unifix cubes). Unit: 4-2 Representation of Mathematical Concepts

A focus on relationships and patterns connect computer and brain models to constructivist theories of learning. True or False?

True Relationships and patterns are a key similarity between computer-brain and constructivist theory. Unit: 4-4 Learning and Teaching Constructively

Goldin's (1990) six themes for constructivist teaching include: a. meaning is determined by the learner instead of the teacher. b. the use of guided discovery. c. reliance on teacher imitation. d. teachers' understanding the origins of mathematical knowledge. e. discrete use of algorithms.

a. meaning is determined by the learner instead of the teacher. b. the use of guided discovery. d. teachers' understanding the origins of mathematical knowledge. a,b,d

Steps of action research might include: a. testing out new instructional practices. b. collecting data. c. measuring student performance. d. collaborating with colleagues. e. publishing findings

all of the above a. testing out new instructional practices. b. collecting data. c. measuring student performance. d. collaborating with colleagues. e. publishing findings

Brain research shows that lasting mathematics learning occurs when: a. skills are repeatedly practiced in frequent drills. b. information crosses between the logical and spatial parts of the brain. c. information crosses between the right and left parts of the brain. d. learning is focused within one part of the brain. e. concepts are revisited to form long-term synapses.

b. information crosses between the logical and spatial parts of the brain. c. information crosses between the right and left parts of the brain. e. concepts are revisited to form long-term synapses. b,c,e