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1. • • In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, Fermat curves are defined over the integers).
     en.wikipedia.org/wiki/Scheme_(mathematics)

     Scheme (mathematics) - Wikipedia

2. People also ask

   Does schema-based instruction improve word problem-solving outcomes in mathematics?

   • , Lauren W. Collins, PhD, […] The purpose of this review is to determine the evidence base classification of schema-based instruction (SBI) as an intervention to improve word problem-solving outcomes in mathematics for students with learning or mathematics disabilities in Grades K–12.

   Schema-Based Instruction for Mathematical Word Problem Solving: An

   journals.sagepub.com/doi/full/10.1177/0731948718823080

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   What are problem-solving schemas?

   • Problem-solving schemas have most often appeared in arithmetic or algebraic contexts. Hinsley et al. ( 1977) were among the first researchers to look seriously at the way schemas are used by problem solvers. They focused on the question of whether individuals actually use schema knowledge to solve problems.

   Schema-Based Problem Solving | SpringerLink

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   What is a scheme in Algebra?

   • Schemes elaborate the fundamental idea that an algebraic variety is best analyzed through the coordinate ringof regular algebraic functions defined on it (or on its subsets), and each subvariety corresponds to the idealof functions which vanish on the subvariety.

   Scheme (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Scheme_(mathematics)

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   How do you solve a problem using a schema?

   • To solve problems using a schema, an individual must first recognize the features of the problem that are relevant to the schema (i.e., identification knowledge). Next, the solver needs to figure out how these features relate to past experiences of problem solving (i.e., elaboration knowledge).

   Schema-Based Problem Solving | SpringerLink

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   What is the difference between a schema and a word problem?

   • Whereas defining word problems by key words or operation has no research to support use for students with learning disabilities, schema instruction has a rich research base. Two categories of schemas that have broad usage for teachers are the additive and multiplicative schemas.

   Effective Word-Problem Instruction: Using Schemas to Facilitate

   journals.sagepub.com/doi/full/10.1177/0040059918777250

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   What is schema based problem solving?

   • Active solving is required, and a schema should capture both the situational features and the solution strategies of problem solving. Building on Hinsley et al.’s earlier approach, Marshall ( 1995) hypothesized that four types of knowledge were essential for schema-based problem solving: identification, elaboration, planning, and execution.

   Schema-Based Problem Solving | SpringerLink

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3. iris.peabody.vanderbilt.edu › module › mathIRIS | Page 6: Schema Instruction - Vanderbilt University

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   Schema instruction—explicit instruction in identifying word problem types, representing them correctly, and using an effective method for solving them—has been found to be effective among students with mathematical difficulties and disabilities.

4. link.springer.com › referenceworkentry › 10Schema-Based Problem Solving - SpringerLink

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   Definition. Schema-based problem solving requires use of specific schemas or templates to recognize, understand, and solve problems. Broadly, such schemas have four characteristics: they are organized so that an individual can quickly identify new instances that are similar to those on which the schema was founded; they are general templates ...

   • Email: smarshall@sciences.sdsu.edu

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6. math.stackexchange.com › questions › 915447What is the use of scheme theory? - Mathematics Stack Exchange

   math.stackexchange.com › questions › 915447

   Grothendieck saw how to convert a ring into a space with a topology, a so-called affine scheme, and then defined schemes to be the things you can get by gluing together affine schemes.

7. journals.sagepub.com › doi › fullEffective Word-Problem Instruction: Using Schemas to ...

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   Jun 7, 2018 · An exploratory study of schema-based word-problem-solving instruction for middle school students with learning disabilities: An emphasis on conceptual and procedural understanding. The Journal of Special Education , 36, 23–38.

   • Author: Sarah R. Powell, Lynn S. Fuchs

   • Publish Year: 2018

8. en.wikipedia.org › wiki › Scheme_(mathematics)Scheme (mathematics) - Wikipedia

   en.wikipedia.org › wiki › Scheme_(mathematics)

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   In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x 2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, Fermat ...

9. link.springer.com › referenceworkentry › 10Schema-Based Instruction - SpringerLink

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   Schema-based instruction is a method of teaching problem solving that emphasizes both the semantic structure of the problem and its mathematical structure. It utilizes recognition of key words (as does a simple key-word strategy) but goes further than simple recognition to stress understanding of the situation represented in the problem.

10. journals.sagepub.com › doi › fullSchema-Based Instruction for Mathematical Word Problem ...

    journals.sagepub.com › doi › full

    Feb 6, 2019 · The purpose of this review is to determine the evidence base classification of schema-based instruction (SBI) as an intervention to improve word problem-solving outcomes in mathematics for students with learning or mathematics disabilities in Grades K–12.