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Nataly Pincheira; Ángel Alsina – International Journal of Science and Mathematics Education, 2025
This study analyzes the mathematical knowledge to teach early algebra exhibited by pre-service early childhood education teachers, from the perspective of the Mathematical Knowledge for Teaching (MKT) model. The research adopts a mixed exploratory-descriptive methodological approach, based on the application of the MKT-early algebra questionnaire…
Descriptors: Preservice Teachers, Early Childhood Teachers, Mathematics Teachers, Pedagogical Content Knowledge
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Katalenic, Ana; Cižmešija, Aleksandra; Milin Šipuš, Željka – International Journal of Science and Mathematics Education, 2023
This paper examines prospective mathematics teachers' knowledge of asymptotes and asymptotic behaviour of functions in calculus. They are university students and future facilitators of knowledge in upper secondary education. We constructed a "reference epistemological model" to describe the knowledge about asymptotes for upper secondary…
Descriptors: Preservice Teachers, Mathematics Teachers, Knowledge Level, Mathematical Concepts
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Çetin, Ömer Faruk – Education Quarterly Reviews, 2022
The study aims to explore how the mathematics teachers taking post-graduate education use their Algebra knowledge for the expression, "You can't add apples and pears" that is expressed in almost every segment of the society, in creating mathematical content. The data of the research consisted of the written answers of the thirty-seven…
Descriptors: Mathematics Teachers, Graduate Students, Figurative Language, Algebra
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Barbara Lutaif Bianchini; Eloiza Gomes; Marcela Parraguez González; de Gabriel Loureiro Lima – Teaching Mathematics and Its Applications, 2024
The objective of this paper is to establish comparisons between the Linear Algebra (LA) approach practiced in Engineering courses offered by Chilean and Brazilian Higher Education Institutions and, for that, teachers from both countries were interviewed. From a methodological point of view, the research consists of two case studies. For the…
Descriptors: Knowledge Level, Specialization, Teacher Characteristics, Foreign Countries
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Claire Wladis; Benjamin Sencindiver; Kathleen Offenholley – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Here we investigate how college students may conceptualize symbolic algebraic properties. This work uses the theory of Grundvorstellungen (GVs) to analyze how learners' conceptions may or may not align with some desired goals of instruction. Through the analysis of interviews with students across a variety of courses, we describe several…
Descriptors: College Students, Algebra, Mathematics Instruction, Symbols (Mathematics)
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Inah Ko; Vilma Mesa; Irene Duranczyk; Patricio Herbst; Nidhi Kohli; April Ström; Laura Watkins – International Journal of Mathematical Education in Science and Technology, 2024
In this paper, we examine the relationships between teachers' subject matter preparation and experience in teaching and their performance on an instrument measuring mathematical knowledge for teaching Algebra 1. We administered the same instrument to two different samples of teachers-high school practicing teachers and community college…
Descriptors: Knowledge Level, Algebra, High School Teachers, College Faculty
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Vargas González, María Fernanda; Fernández-Plaza, José Antonio; Ruiz Hidalgo, Juan Francisco – International Journal of Mathematical Education in Science and Technology, 2023
This article aims to delve into the meaning of school mathematical concepts by their semantic analysis. Concretely, this paper aimed primarily to describe and characterize the meaning of derivative of a function at a point expressed by mathematics pre-service teachers. In order to achieve this goal, we use a semantic framework, in which the…
Descriptors: Preservice Teachers, Knowledge Level, Mathematical Concepts, Semantics
Sükrü Ilgün; Solmaz Damla Gedik Altun; Alper Cihan Konyalioglu – Educational Policy Analysis and Strategic Research, 2023
The aim of this study is to examine the ability of pre-service mathematics teachers to detect errors made in solving questions about matrices. The study particularly focused on revealing the internalization of the teachings such as the meanings and relational dimensions of concepts and operations about matrix. The study was conducted with 26…
Descriptors: Preservice Teachers, Mathematics Teachers, Error Patterns, Matrices
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Atiye Ayyildiz Altinbas; Erhan Ertekin; Süleyman Solak – International Journal of Mathematical Education in Science and Technology, 2024
This study was performed to determine preservice elementary mathematics teachers' solution performance of systems of linear equations using geometric representation, algebraic representation and transition from geometric representation to the algebraic representation and the predictive role of preservice elementary mathematics teachers'…
Descriptors: Elementary School Teachers, Mathematics Teachers, Problem Solving, Equations (Mathematics)
Okemwa Ogega Monandi – ProQuest LLC, 2021
Current recommendations for school mathematics include teaching algebra as a K-12 content stranding beginning in the elementary-school grades. The focus of this study was on preservice elementary mathematics teachers' knowledge of algebra content in the intended curriculum for K-8 mathematics. In the Common Core State Standards for Mathematics…
Descriptors: Preservice Teachers, Elementary School Teachers, Knowledge Level, Mathematical Concepts
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Moon, Kyunghee – International Journal for Mathematics Teaching and Learning, 2023
This study concerns preservice teachers' knowledge of student thinking at the secondary level. In particular, it examines in what ways a three-week unit integrating content and student thinking was beneficial in developing preservice teachers' knowledge of student thinking associated with big ideas in algebra--such as variation, Cartesian…
Descriptors: Preservice Teachers, Knowledge Level, Secondary School Students, Mathematics Instruction
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Caro, Diana García; García, Carlos Valenzuela; Sanz, María T.; González, María S. García – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This paper describes the conceptions about complex numbers that a group of university students has, these were built from the application of an activity sequence centered on these numbers. This sequence is based on the APOS theory, some aspects of semiotic representation theory, and the use of digital technology. Particularly, both the general…
Descriptors: Undergraduate Students, Student Attitudes, Knowledge Level, Number Concepts
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Gross, Thomas J.; Li, Qingxia; McCarroll, Patricia – Journal of Biological Education, 2023
The purpose of this study was to evaluate the preliminary outcomes of a learning community intervention (LC), which was based on the performance pyramid theoretical model of student supports. The LC integrated college algebra into biology course work. We used a quasi-experimental design to compare LC students to separate General Biology I and…
Descriptors: Outcomes of Education, Communities of Practice, Biology, Knowledge Level
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Dewi, Irmawati Liliana Kusuma; Zaenuri; Dwijanto; Mulyono – European Journal of Educational Research, 2021
This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Education, Mathematical Concepts
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Arnawa, I. Made; Yanita; Yerizon; Ginting, Bukti; Nita, Sri – International Journal of Instruction, 2021
The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…
Descriptors: Constructivism (Learning), Educational Theories, Mathematics Achievement, Algebra
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