# Questions On Mathematics Learning And Teaching

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Mathematics Learning & Teaching A. Describe how teaching for problem solving is used in the attached lesson plan, “Problem Solving in Algebra I.” The teacher is using direct lecture to model to the students how to problem solve using specific methods and steps. Later on, the teacher has a set of problems that will reinforce those methods and steps. 1. Discuss two reasons why teaching for problem solving is an ineffective method in the attached lesson plan. In teaching for problem solving, students will not be able to personally rationalize why each method or strategy is used for each problem. Since they are being taught that certain steps pertain to certain types of problems, that is how they will associate with later problems. They will…show more content…
There is an overhead projector and a pull-down screen onto which it can project images. STANDARDS AND OBJECTIVES Your State Core Curriculum/Student Achievement Standard(s): UTAH Algebra I: Standard I: Students will expand number sense to understand, perform operations, and solve problems with real numbers. Lesson Objective(s): This lesson is on problem-solving strategies. The students will be able to select an discover appropriate problem-solving strategy strategies from a list of several, and then apply it to solve given word problems. MATERIALS AND RESOURCES Instructional Materials: Chalk, chalkboard, overhead projector, overhead markers Resources: Algebra I textbook (any will do) INSTRUCTIONAL PLAN Sequence of Instructional Procedures/Activities/Events (provide description and indicate approximate time for each): 1. Identification of Student Prerequisite Skills Needed for Lesson: Students need to know how to add, subtract, multiply, and divide. They should also know how to create sketches of situations presented in writing. 2. Presentation of New Information or Modeling: The Most, if not all, problem-solving strategies to be presented discovered in this lesson: • Guess, check, and revise • Draw a picture • Make a chart or graph • Find a pattern • Write an equation 3. Guided Practice: Each of the problem-solving strategies above will be listed on the board, and a sample problem that can be solved using each method will be shown to the