Please select an appropriate academic level that corresponds to your level of writing.
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 Energy transfers essay 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: Popham,Preface section, para. See Part 2 of this essay for more on the role of assessment. Specific strategies for math and other content areas are included. CT4ME has an entire section devoted to standardized test preparation.
Mathagogy includes several two-minute videos from math educators around the world who are sharing how they approach teaching various topics. For example, teachers have uploaded how they introduce sine and cosine graphs, teach inquiry, algebraic literacy, prime numbers, proportions, probability, proof, and how they teach using Cuisenaire rods or using one question lessons.
Theory and Research Every teacher should have some knowledge on how students learn and be able to connect research to what they do in the classroom.
In the Science of Learningthe Deans for Impact provide a valuable summary of cognitive science research on how learning takes place. Likewise, the Centre for Education Statistics and Evaluation in New South Wales, Australia elaborates on research that teachers really need to understand about cognitive load theory: In their review of over studies in What makes great teaching?
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