Exam 3: Learning Theories and Psychology in Mathematics Education

Some of the most powerful research conclusions have been drawn from studies that have included both quantitative and qualitative elements.Which of the following contains both elements?

The van Hiele Model is a theory that addresses the development of children's learning of which area of mathematical content?

In Geometry class, the teacher gave the students the Pythagorean Theorem as $a ^ { 2 } + b ^ { 2 } = c ^ { 2 }$ , and students used it to solve fifteen practice exercises.Which type of approach did the teacher us?

Select the correct representation of the solution to simplifying the expression $2 x ^ { 2 } + x + 4 + 3 x ^ { 2 } + 5 x + 7$ using algebra tiles.

Suppose that a student was able to state that a parallelogram has two pairs of opposite parallel sides, but is still unable to compare it to a rectangle.At which van Hiele level is this student most likely functioning?

Jerome Bruner's theory led to extensive use of which of the following materials in the mathematics classrooms?

If a student states that the sum of the angles of a triangle is not always 180° because it is greater than 180° in the study of spherical geometry, the student is probably operating at which van Hiele level?

Using algebra tiles to model equation solving would be a typical activity at which of Bruner's stages of representation?

Jerome Bruner theorized that learning generally proceeds in order through which of the following three phases?

The type of research that deals with gathering numerical data and analyzing it is called which of the following?

A school district decided to look at the effects of a new teaching method.They had one teacher teach in a "traditional" manner, while another taught using a "new" approach.Which research method would involve comparing student test results of each group to determine which method was more effective?

When a student is given a set of manipulatives, such as algebra tiles, which type of curiosity is often evoked in the student?

In a constructivist classroom, the teacher can and should include which of the following?

Which educational theorist is known for work on the topic of "mindsets"?

A tendency to act in positive ways, as well as the attitude of students in a mathematics class, refers to which of the following?

The concept attainment method can be used to promote which type of classroom teaching technique?

Which of the following is NOT considered a central component of constructivism?

Which of the following is NOT generally considered a method of collecting qualitative research?

The type of research that deals with the collection and analysis of non-numerical data is called which of the following?

Which three elements are required for a "community of practice"?