The role of the student is to memorize The role of the student is to be actively information that is presented and then involved in making sense of mathematics use it to solve routine problems on tasks by using varied strategies and homework, quizzes, and tests. representations, justifying solutions, making connections to prior knowledge or familiar contexts and experiences, and considering the reasoning of others. An effective teacher makes the An effective teacher provides students mathematics easy for students by with appropriate challenges, encourages guiding them step by step through perseverance in solving problems, and problem solving to ensure that they are supports productive struggle in learning not frustrated or confused. mathematics. Mathematics learning should focus on Mathematics learning should on practicing procedures and memorizing developing understanding of concepts and basic number combinations. procedures through problem solving, reasoning, and discourse. Students need only to learn and use the All students need to have a range of same standard computational algorithms strategies and approaches from which to and the same prescribed methods to choose in solving problems, including, but solve algebraic problems. not limited to, general methods, standard algorithms, and procedures. The role of the teacher is to tell students The role of the teacher is to engage exactly what definitions, formulas, and students in tasks that promote reasoning rules they should know and demonstrate and problem solving and facilitate how to use this information to solve discourse that moves students toward mathematics problems. shared understanding of mathematics. Effective Teaching and Learning. (2014). In Principles to Actions: Ensuring mathematical success for all (p. 11). Reston, VA: NCTM. Rules of Exponents Van Hiele
The role of the student is to memorize information that is presented and then use it to solve routine problems on homework, quizzes, and tests. The role of the student is to be actively involved in making sense of mathematics tasks by using varied strategies and representations, justifying solutions, making connections to prior knowledge or familiar contexts and experiences, and considering the reasoning of others. An effective teacher makes the mathematics easy for students by guiding them step by step through problem solving to ensure that they are not frustrated or confused. An effective teacher provides students with appropriate challenges, encourages perseverance in solving problems, and supports productive struggle in learning mathematics. Mathematics learning should focus on practicing procedures and memorizing basic number combinations. Mathematics learning should on developing understanding of concepts and procedures through problem solving, reasoning, and discourse. Students need only to learn and use the same standard computational algorithms and the same prescribed methods to solve algebraic problems. All students need to have a range of strategies and approaches from which to choose in solving problems, including, but not limited to, general methods, standard algorithms, and procedures. The role of the teacher is to tell students exactly what definitions, formulas, and rules they should know and demonstrate how to use this information to solve mathematics problems. The role of the teacher is to engage students in tasks that promote reasoning and problem solving and facilitate discourse that moves students toward shared understanding of mathematics. Effective Teaching and Learning. (2014). In Principles to Actions: Ensuring mathematical success for all (p. 11). Reston, VA: NCTM. Rules of Exponents Van Hiele