Search results for "Van Hiele model"

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An Alternative Paradigm to Evaluate the Acquisition of the van Hiele Levels

1991

This article presents an alternative way of analyzing the van Hiele level of students’ geometrical reasoning. We evaluate the students’ answers, taking into account the van Hiele level they reflect and their mathematical accuracy. This gives us a description of how accomplished the students are in applying the procedures associated with each of the van Hiele levels and allows us to determine the students’ degree of acquisition of the van Hiele levels. In this way we obtain a clearer picture of the students’ geometrical reasoning than with the traditional assignment of one van Hiele level to the learners. An example of the application of this method is provided: We describe a test that evalu…

Alternative methodsHigher educationbusiness.industryEducationTest (assessment)School teachersMathematics (miscellaneous)Concept learningPedagogyCognitive developmentMathematics educationVan Hiele modelbusinessPsychologyJournal for Research in Mathematics Education
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Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book

2021

In mathematics education, technology offers many opportunities to enrich curricular contents. Plane symmetries is a topic often skipped by primary teachers. However, it is important and may be worked in attractive ways in dynamic geometry software environments. In any regular classroom there are students with different levels of mathematical attainment, some needing easy tasks while others, particularly mathematically-gifted students, need challenging problems. We present a teaching unit for plane symmetries, adequate for upper primary school grades, implemented in a fully interactive electronic book, with most activities solved in GeoGebra apps. The book allows student to choose which itin…

cognitive demandComputer scienceGeneral Mathematicssymmetriesnetworking theoriesMathematical reasoningUnit (housing)primary schoolSoftwaremathematically gifted studentsComputer Science (miscellaneous)Mathematics educationComputingMilieux_COMPUTERSANDEDUCATION0501 psychology and cognitive scienceseducational e-bookEngineering (miscellaneous)Structure (mathematical logic)business.industrylcsh:Mathematics05 social sciences050301 educationCognitionlcsh:QA1-939Homogeneous spaceElectronic bookcognitive demand; educational e-book; mathematically gifted students; networking theories; primary school; symmetries; technological environment; Van Hiele levelsVan Hiele modelbusiness0503 education050104 developmental & child psychologyMathematics
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