Classroom spaces that support such a shift in teaching and learning have lagged behind.
Develop a range of instructional and assessment methods and test preparation methods. Instruction Linda Gojakformer NCTM President, noted that "Over the last three decades a variety of instructional strategies have been introduced with a goal of increasing student achievement in mathematics.
Such strategies include individualized instruction, cooperative learning, direct instruction, inquiry, scaffolding, computer-assisted instruction, and problem solving" with the flipped classroom being a recent addition to the list para. Blended learning is also on the rise, which adds online learning to traditional classrooms.
Thus, another goal for teachers is to investigate instructional and assessment methods and how they might be incorporated appropriately into lesson plans. In its Principles to Actions: Ensuring Mathematical Success for All, NCTM indicated the following research-based mathematics teaching practices, which should be "consistent components of every mathematics lesson": Establish mathematics goals to focus learning.
Implement tasks that promote reasoning and problem solving. Use and connect mathematical representations. Facilitate meaningful mathematical discourse.
Build procedural fluency from conceptual understanding. Support productive struggle in learning mathematics. Elicit and use evidence of student thinking.
Active student involvement reinforces learning. This is not to minimize the role of direct instruction, however. Students should become active in the learning process immediately upon entering the classroom.
Muschla, Muschla, and Muschla-Berry stated: Losing just the first five minutes daily amounts to 25 lost minutes per week of instruction and could amount to a loss of 20 class periods of instruction per school year.
Their solution is using a math-starter problem that students begin immediately upon entering the classroom. Each is designed to be completed in minutes, which includes reviewing the answer and any follow-up discussion. This strategy is also good for classroom management, as during this time the teacher can take attendance, pass back papers, interact individually with students, and observe students as they work p.
Strategies can help understand the problem, simplify the task, determine the cause of a problem, involve external aids to help identify problem solutions, use logic to help identify possible solutions.
Strategies can also identify a possible solution to serve as a starting point to solve a problem, or determine which possible solution is best. Strategies can employ geometric thinking, help you to function optimally while problem solving, and help solve multiple problems.
Popham noted that assessment is a broad term:The Moral Dimensions of Teaching [John I. Goodlad, Roger Soder, Kenneth A.
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