Quadratic equations in Swedish textbooks for upper-secondary school

Sönnerhed, Wang Wei

doi:10.31129/lumat.9.1.1473

Cited by 2 publications

(1 citation statement)

References 20 publications

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“…The concept of variable is usually defined as a letter in an algebraic expression that can assume different values. Two of the most frequently used Swedish mathematics textbooks for upper secondary school (Sönnerhed, 2021) define a function as a relationship between two variables that satisfy the onevaluedness property:…”

Section: Background 21 the Concept Of Functionmentioning

confidence: 99%

Student teachers’ knowledge of students’ difficulties with the concept of function

Borke

2021

LUMAT

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An important part of the mathematics syllabuses at the secondary school level in most countries is the concept of function. However, secondary school students often experience difficulties with this concept. These difficulties are well-known in the research literature. The study applies the mathematical knowledge for teaching (MKT) framework, including the category knowledge of content and students (KCS). Teachers’ ability to anticipate students’ difficulties is one aspect of KCS. The aim of this study is to investigate secondary mathematics student teachers’ KCS regarding the concept of function. Ten mathematics student teachers participating in a Supplementary Teacher Education Program answered a questionnaire about fictive secondary school students’ various difficulties with the concept of function. Follow-up interviews were conducted with four of the respondents. Compared to the findings of previous research on students’ difficulties with the concept of function, the respondents in the study sometimes provide reasonable suggestions about the sources of students’ difficulties. Some of the respondents demonstrate an aspect of KCS when they suggest that students can reason that a function must be defined by one algebraic expression only, and that students only know about continuous functions. However, no respondent suggests that one source of students’ difficulties with a constant function with an implicit domain is the missing domain. In addition, some respondents take for granted that students can interpret the algebraic representation of a piecewise-defined function and translate it into a graph.

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Section: Background 21 the Concept Of Functionmentioning

confidence: 99%

Student teachers’ knowledge of students’ difficulties with the concept of function

Borke

2021

LUMAT

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A Thematic Review of Quadratic Equation Studies in The Field of Mathematics Education

Kabar

2023

Participatory Educational Research

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Quadratic equations are one of the fundamental topics of the secondary school curriculum. Current research in algebra education indicates an upswing in interest in quadratic equations research; however, the general trend of quadratic equation studies is not known. Research, which systematically analyzes quadratic equation studies in the field of mathematics education, will be a guide for the researchers who plan to research this subject matter. Furthermore, displaying the content of quadratic equation studies will be a guide for mathematics teachers in finding the resources to reach alternative teaching methods. This study aimed to review both descriptively and thematically the quadratic equation studies in the field of mathematics education conducted in the period of 2000 to 2021. For this aim, both descriptive and thematic content analysis were used. 42 articles and 9 theses conducted between 2000 and 2021 were examined and analyzed. The findings of this study displayed that although current research in algebra education showed interest in quadratic equation studies, the number of the studies was quite scarce, and the studies still lack sufficient scope. Particularly, more studies should be conducted by considering mathematics teachers’ and pre-service mathematics teachers’ knowledge for teaching quadratic equations from different perspectives. This study will provide a more collective understanding of quadratic equation studies in the field of mathematics education.

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Quadratic equations in Swedish textbooks for upper-secondary school

Cited by 2 publications

References 20 publications

Student teachers’ knowledge of students’ difficulties with the concept of function

Student teachers’ knowledge of students’ difficulties with the concept of function

A Thematic Review of Quadratic Equation Studies in The Field of Mathematics Education

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