Direct Instruction: Problem Structures
Overview
Teaching students to recognize the structures of algebraic representations helps them transfer solution methods from familiar to unfamiliar problems. When students learn these structures, they can connect what is similar among them and have greater success in simplifying and solving algebra problems. However, research shows that students develop deeper conceptual understanding and Mathematical Flexibility when they engage in exploratory problem-solving and productive failure before direct instruction.
Example: Use This Strategy In in the Classroom
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Videos are chosen as examples of strategies in action. These choices are not endorsements of the products or evidence of use of research to develop the feature.
Learn how Math Shake provides general problem structures to support student problem solving. By having the overall outline of an equation, students can practice and develop their abilities to convert word problems into mathematical equations.
Additional Resources
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Factors Supported by this Strategy
More Instructional Approaches Strategies
Providing math tasks with high cognitive demand conveys high expectations for all students by challenging them to engage in higher-order thinking.
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Discussing strategies for solving mathematics problems after initially letting students attempt to problem solve on their own helps them understand how to organize their Algebraic Thinking and intentionally tackle problems.
The flipped classroom has two parts: cooperative group activities in class and digitally-based individual instruction out of class.
In guided inquiry, teachers help students use their own language for constructing knowledge by active listening and questioning.
Math centers with math games, manipulatives, and activities support learner interests and promote the development of more complex math skills and social interactions.
Through short but regular mindfulness activities, students develop their awareness and ability to focus.
Instruction in multiple formats allows students to activate different cognitive skills to understand and remember the steps they are to take in their math work.
Using multiple methods of assessment can help educators gain a comprehensive understanding of learner progress across a wide range of skills and content.
When teachers connect math to the students' world, students see how math is relevant and applicable to their daily lives.
A strengths-based approach is one where educators intentionally identify, communicate, and harness students' assets, across many aspects of the whole child, in order to empower them to flourish.
Untimed tests provide students the opportunity to flexibly and productively work with numbers, further developing their problem-solving abilities.
Writing that encourages students to articulate their understanding of math concepts or explain math ideas helps deepen students' mathematical understanding.
