Math Methods Final Exam (A+ GRADED) with complete solutions

When teaching a lesson on adding decimals in the middle school, which of the following are considered the "best" tools for a teacher to use? correct answers It depends on the situation If students use graph paper to explore decimals and a 10 x 10 grid represents 1, then what would a single square represent? correct answers .01 If a teacher has the class use metric measurements to explore decimals with a decimeter representing a unit, then how would 6.93 be represented? correct answers 6 decimeters, 9 centimeters, and 3 millimeters Which of the following is NOT associated with Pedagogical Content Knowledge? correct answers Access to appropriate teaching tools What is the purpose of "free play" with manipulatives? correct answers To have students explore and experiment What is the main reason that specific rules for the use of manipulatives should be established? correct answers Students are tempted to exhibit off-task behavior Which of the following if NOT one of the Tips on Manipulative Use that is mentioned in the text? correct answers Keep in mind that students "inherently" learn when they use manipulatives, so materials should be a regular part of the classroom When assisting students with simple mental arithmetic such as 6 x 13, a teacher can lead the students into thinking of the problem as 6(10+3) and adding 60+80. Which property is being reviewed? correct answers The Distributive Property What is important for a teacher to do to make mathematics teaching tools become worthwhile? correct answers Effectively generate classroom discussion or discourse Bulletin boards are recommended for what purpose? correct answers Utilitarian, showcasing students work, publishing a "problem of the week", and promoting understanding through interactive problems What should be the order in distribution materials for use in hands-on activities? correct answers Give directions, then hand out the materials The exchange of ideas in the mathematics classroom is referred to in Mathematics Teaching Today as which of the following? correct answers Discourse What does it mean if a question is considered "closed"? correct answers The question has only one expected and correct response