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Student Misconceptions and Errors in Physics and Mathematics

Authors: --- --- --- --- et al.
Book Series: IEA Research for Education ISBN: 9783030301880 Year: Pages: 165 DOI: 10.1007/978-3-030-30188-0 Language: English
Publisher: Springer Nature
Subject: Mathematics --- Education
Added to DOAB on : 2020-02-05 11:21:17

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This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.

Understanding Statistics and Experimental Design

Authors: --- ---
Book Series: Learning Materials in Biosciences ISBN: 9783030034993 Year: Pages: 142 DOI: 10.1007/978-3-030-03499-3 Language: English
Publisher: Springer Nature
Subject: Zoology --- Biology --- Mathematics --- Medicine (General) --- Education --- Psychology
Added to DOAB on : 2020-02-04 11:21:06

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This open access textbook provides the background needed to correctly use, interpret and understand statistics and statistical data in diverse settings. Part I makes key concepts in statistics readily clear. Parts I and II give an overview of the most common tests (t-test, ANOVA, correlations) and work out their statistical principles. Part III provides insight into meta-statistics (statistics of statistics) and demonstrates why experiments often do not replicate. Finally, the textbook shows how complex statistics can be avoided by using clever experimental design. Both non-scientists and students in Biology, Biomedicine and Engineering will benefit from the book by learning the statistical basis of scientific claims and by discovering ways to evaluate the quality of scientific reports in academic journals and news outlets.

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