Procedural understanding

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tandfonline.com – Lifting the understanding of trigonometric limits from procedural towards conceptual

Posted on by Troels Gannerup Christensen - Læst 22 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. The purpose of this paper is to follow the reasoning of high school students when asked to explain the standard trigonometric limit limθ→0⁡sin⁡θθ=1. An observational study was conducted in four different phases in order to investigate if visualization, by means of an interactive technology environment (Geogebra), can contribute in lifting high school students’ understanding from a mere procedural understanding to a combination of conceptual and procedural understanding. The obtained results confirm that the students were able to show a… Continue Reading →

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tandfonline.com – Exploring core ideas of procedural understanding in scientific inquiry using educational data mining

Posted on by Troels Gannerup Christensen - Læst 12 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Background: Scientific thinking is an essential learning goal of science education and it can be fostered by inquiry learning. One important prerequisite for scientific thinking is procedural understanding. Procedural understanding is the knowledge about specific steps in scientific inquiry (e.g. formulating hypotheses, measuring dependent and varying independent variables, repeating measurements), and why they are essential (regarding objectivity, reliability, and validity). We present two studies exploring students’ ideas about procedural understanding in scientific inquiry using Concept Cartoons. Concept Cartoons are cartoon-like drawings of different characters who have different views about a concept. They are to activate students’ ideas about the specific concept and/or make them discuss them. Purpose: The purpose of this paper is to survey students’ ideas of… Continue Reading →