MATH 391 Midterm Exam Questions and Answers Fully Solved

MATH 391 Midterm Exam Questions and Answers Fully Solved Three mathematics tasks were shared in this section. Each of the tasks was an example of doing mathematics because: - Answers It required looking for patterns and order. Based on the discussion in this section, which of the following is the best way to pose a task to students so that they experience doing mathematics? - Answers Share the problem, ask students to explore, stop them to see how they are doing, and let them keep going. All of the following statements about mathematical proficiency are true except which? - Answers Procedural fluency means being accurate and quick at using standard algorithms for each operation. Constructivism and sociocultural theories have implications for teaching. Which of the following teaching strategies would be "weak" in terms of helping students learn based on these theories? - Answers Having students sort the facts that they know and then work on the facts that they do not know by trying to memorize them. Which of the following statements about dots are true? - Answers Red dots (new ideas) are best added to a person's network of concepts by being connected to blue dots (existing ideas). In teaching through problem-solving, students are engaged in doing all of the following except which? - Answers Checking their answers with others or the textbook to confirm that it is correct. Which of the following statements is true about features of worthwhile tasks? - Answers Relevant tasks include ones that are interesting to students and that address important mathematical ideas; they may come from literature, the media, or a textbook. Which of the following statements is not true? - Answers Developing procedural knowledge requires practice and drill. Based on your interpretation of implementing classroom discussions, which of the following teacher actions do you think best supports student learning? - Answers The teacher hears an incorrect solution and asks students what they think about the idea. Which of the following reasons provides the best justification for why teaching through problem solving is effective for the struggling learner? - Answers Students are able to pull from their knowledge base and use a strategy they like, which increases their chance of success and thereby motivates them to solve the problem. Which of the following is not a recommended teacher move in a three-phase lesson plan format? - Answers Illustrating how to solve a problem to ensure that students are ready to practice. Which of the following statements is true? - Answers Begin with mathematical goals, consider student needs, and use these factors to create the three-phase lesson. The purpose of differentiation is what? - Answers Provide tasks that are accessible and challenging for all students. When you are measuring an object using a tool and choosing the attribute to be measured, then you must: - Answers select a tool with the same attribute to measure with. Which of the following is a nonstandard unit of measure? - Answers Paper clip. Measurement ____________________________ is the process of using mental and visual information to measure or make comparisons without the use of measuring instruments. - Answers Estimation. Which of the following is not a suggested strategy for estimating? - Answers Guessing. One of the basic ideas of length measurements is that when the unit is longer, the measure is: - Answers smaller. A good task to use with students to assess their understanding of the use of a standard ruler is: - Answers measuring with a "broken ruler." An area model that demonstrates how figures can have the same area composed of different shapes is: - Answers tangrams. Students should explore that area of a triangle after they have a conceptual understanding of the area of a: - Answers parallelogram. How can one obtain an accurate measure of the volume of a rectangular prism when given a set of the same-sized cubes? - Answers Layer the cubes on the bottom of the box to fit the dimensions and then see how many layers are needed. To compare the weights of two objects, which of the following is the best approach? - Answers Place the two objects in the two pans of a balance.