Gaining Insight into Mathematical Constructs

Gaining Insight into Mathematical Constructs - MetroMath

This article will explore the benefits of gaining insight into mathematical constructs and how it can help us understand the world we live in.

Creating Effective Problem-Solving Strategies - MetroMath

Understanding Mathematical Notation · Exploring the History of Mathematics · Theory Benefits · Gaining Insight into Mathematical Constructs · Developing New ...

Full article: Investigating insight and rigour as separate constructs in ...

We investigate undergraduate mathematics students' conceptions of rigour and insight. We conducted comparative judgement experiments in which students were ...

How to Use Math Manipulatives | hand2mind

... construct math knowledge (2010). “Children need firsthand ... Through the Big Idea for each lesson, teachers gain insight into the underlying mathematics ...

Gaining Subversive Insight into the School Mathematics Tradition

Toward this end, Herbst (2006) offers the construct of an instructional situation as describing a set of expectations that develop in the ...

4 THE STRANDS OF MATHEMATICAL PROFICIENCY | Adding It Up

... of problems, not just individual problems. By studying algorithms as “general procedures,” students can gain insight into the fact that mathematics is well ...

Insight and Intuition in Mathematics - jstor

concepts associated with formal systems of mathematics rather than dynamical constructions: GENERALISATION - ABSTRACTION - AXIOMATISATION. All six concepts ...

Understanding authority in small-group co-constructions of ...

Indeed, proving involves verifying mathematical claims, gaining insight into mathematical ... constructions of mathematical proofs, within an undergraduate ...

Investigating insight and rigour as separate constructs in ...

Keywords: insight and rigour; mathematical proof; comparative judgement; aesthetics. 1 Introduction. Proof is a central feature of mathematics, ...

Mathematical Practices

... of the original problem in order to gain insight into its solution. They ... Construct viable arguments and critique the reasoning of others.

Factors that Influence Mathematical Creativity

MEAs allow an observer a window into the mathematical mind of an individual and gain insight on their conceptual understanding. ... mathematics: two components of ...

(PDF) Mathematical constructs in the physical reality - ResearchGate

They gain insight into scientific methodology and get aware of analogies. Art of Modelling. The presupposition for modelling is knowledge of ...

soft question - Getting better at proofs - Mathematics Stack Exchange

... on how to construct a proof "out of nothing". And that's one problem ... of insight into how mathematicians think.) Once you build up a ...

Full article: Mathematical connections – a growing construct

This research provides insights into how students make connections between different mathematical concepts and procedures. ... gain access to the ...

Gaining modelling and mathematical experience by constructing ...

... mathematical knowledge in the design of the real-world project (in this case of a digital systems model). We found that students gained insights and expertise ...

Geometry - National Council of Teachers of Mathematics

draw and construct representations of two- and three ... use geometric models to gain insights into, and answer questions in, other areas of mathematics; ...

CONSTRUCTING ABSTRACT MATHEMATICAL KNOWLEDGE IN ...

Freudenthal has brought forward some of the most important insights to mathematics education in general, and to mathematical abstraction in particular. These ...

Geometric prediction: proposing a theoretical construct to ... - HAL

are part of a doctoral project aimed at gaining insight into the process of GP. Keywords: Spatial reasoning, visualization, intuition, figural ...

Fundamental constructs in mathematics education | Request PDF

... insight into, key constructs in mathematics education and how they link together. ... If teachers are not in the habit of getting students to work at ...

ALEKS constructs as predictors of high school mathematics ...

... mathematical software programs on student achievement gains. ... Program developers and educationalists can apply gained insights to improve the application of ...