Christian Schons, Andreas Obersteiner, Frank Reinhold, Frank Fischer, Kristina Reiss
{"title":"开发模拟以培养未来数学教师的诊断能力:脚手架的作用。","authors":"Christian Schons, Andreas Obersteiner, Frank Reinhold, Frank Fischer, Kristina Reiss","doi":"10.1007/s13138-022-00210-0","DOIUrl":null,"url":null,"abstract":"<p><p>To assess individual students' abilities and misconceptions in mathematics, teachers need diagnostic competencies. Although research has addressed the quality of teachers' diagnostic competencies in recent years, it is not very clear how to foster these competencies effectively in the course of prospective teachers' university education. Research suggests that simulations with instructional support are promising tools for fostering complex competencies. We have developed a simulation that aims at measuring and fostering prospective primary school teachers' competencies to assess students' mathematical abilities and misconceptions based on their written task solutions. In this study, we analysed data from prospective primary school mathematics teachers who used one of three different versions of the simulation. Two versions contained a specific type of scaffolding, while the third version did not contain scaffolding. Specifically, the two scaffolding types were <i>content-related scaffolding</i> that emphasized the use of specific pedagogical content knowledge, and <i>strategic scaffolding</i> that emphasized diagnostic activities. The results suggest that integrating scaffolding into the simulation did not substantially influence participants' overall perception of the simulation regarding presence, authenticity, or perceived cognitive load. Compared to participants in a control group without intervention, participants who used the simulation with scaffolding had higher diagnostic accuracy regarding overall assessment of students' competence level. However, only content-related scaffolding but not strategic scaffolding or no scaffolding tended to improve participants' competence in identifying students' specific misconceptions. The results provide a first empirical basis for further development of the simulation.</p>","PeriodicalId":43968,"journal":{"name":"Journal fur Mathematik-Didaktik","volume":"44 1","pages":"59-82"},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9328016/pdf/","citationCount":"0","resultStr":"{\"title\":\"Developing a Simulation to Foster Prospective Mathematics Teachers' Diagnostic Competencies: the Effects of Scaffolding.\",\"authors\":\"Christian Schons, Andreas Obersteiner, Frank Reinhold, Frank Fischer, Kristina Reiss\",\"doi\":\"10.1007/s13138-022-00210-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>To assess individual students' abilities and misconceptions in mathematics, teachers need diagnostic competencies. Although research has addressed the quality of teachers' diagnostic competencies in recent years, it is not very clear how to foster these competencies effectively in the course of prospective teachers' university education. Research suggests that simulations with instructional support are promising tools for fostering complex competencies. We have developed a simulation that aims at measuring and fostering prospective primary school teachers' competencies to assess students' mathematical abilities and misconceptions based on their written task solutions. In this study, we analysed data from prospective primary school mathematics teachers who used one of three different versions of the simulation. Two versions contained a specific type of scaffolding, while the third version did not contain scaffolding. Specifically, the two scaffolding types were <i>content-related scaffolding</i> that emphasized the use of specific pedagogical content knowledge, and <i>strategic scaffolding</i> that emphasized diagnostic activities. The results suggest that integrating scaffolding into the simulation did not substantially influence participants' overall perception of the simulation regarding presence, authenticity, or perceived cognitive load. Compared to participants in a control group without intervention, participants who used the simulation with scaffolding had higher diagnostic accuracy regarding overall assessment of students' competence level. However, only content-related scaffolding but not strategic scaffolding or no scaffolding tended to improve participants' competence in identifying students' specific misconceptions. 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Developing a Simulation to Foster Prospective Mathematics Teachers' Diagnostic Competencies: the Effects of Scaffolding.
To assess individual students' abilities and misconceptions in mathematics, teachers need diagnostic competencies. Although research has addressed the quality of teachers' diagnostic competencies in recent years, it is not very clear how to foster these competencies effectively in the course of prospective teachers' university education. Research suggests that simulations with instructional support are promising tools for fostering complex competencies. We have developed a simulation that aims at measuring and fostering prospective primary school teachers' competencies to assess students' mathematical abilities and misconceptions based on their written task solutions. In this study, we analysed data from prospective primary school mathematics teachers who used one of three different versions of the simulation. Two versions contained a specific type of scaffolding, while the third version did not contain scaffolding. Specifically, the two scaffolding types were content-related scaffolding that emphasized the use of specific pedagogical content knowledge, and strategic scaffolding that emphasized diagnostic activities. The results suggest that integrating scaffolding into the simulation did not substantially influence participants' overall perception of the simulation regarding presence, authenticity, or perceived cognitive load. Compared to participants in a control group without intervention, participants who used the simulation with scaffolding had higher diagnostic accuracy regarding overall assessment of students' competence level. However, only content-related scaffolding but not strategic scaffolding or no scaffolding tended to improve participants' competence in identifying students' specific misconceptions. The results provide a first empirical basis for further development of the simulation.
期刊介绍:
ZielsetzungenDas ''Journal für Mathematik-Didaktik'' (JMD) publiziert Originalbeiträge aus allen Bereichen mathematikdidaktischer Forschung und Entwicklung. Eingereichte Texte werden in der Regel von drei anonym bleibenden FachgutachterInnen bewertet, die das Herausgebergremium des JMD benennt. Das Herausgebergremium entscheidet aufgrund der Gutachten und eigener Fachkompetenz über das weitere Vorgehen (wie Ablehnung, eventuelle Änderungsauflagen und/oder den Abdruck des Textes im JMD). Das JMD ist offen für Forschungsarbeiten aus Bezugswissenschaften (wie Pädagogik, Psychologie, Soziologie oder Philosophie) und Nachbarwissenschaften (wie Didaktik der Physik oder Sprachdidaktik), sofern sich die Beiträge in ihrem Schwerpunkt auf das Lernen und Lehren von Mathematik beziehen.Das JMD ist das offizielle Organ der Gesellschaft für Didaktik der Mathematik (GDM).
Aims & ScopeThe “Journal für Mathematik-Didaktik” (JMD) publishes original work from all areas of research in mathematics education. Submitted articles will be anonymously reviewed by three experts who are appointed by the journals’ editors. The JMD is open to research in related disciplines (such as pedagogy, psychology, or science education), provided the main scope of the article remains the learning and teaching of mathematics.The JMD is the official journal of the GDM – Gesellschaft für Didaktik der Mathematik (Society of Didactics of Mathematics).