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Anhalt, Cynthia Oropesa; Cortez, Ricardo; Bennett, Amy Been – Mathematical Thinking and Learning: An International Journal, 2018
A study with prospective teachers without prior mathematical modeling experience sheds light on how their newly developed conceptual understanding of modeling manifested itself in their work on the final task of a modeling module within a pedagogy course in secondary mathematics curriculum and assessment. The main purpose of the module was to…
Descriptors: Preservice Teachers, Secondary Education, Mathematical Models, Secondary School Mathematics
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Hoogland, Kees; Pepin, Birgit; de Koning, Jaap; Bakker, Arthur; Gravemeijer, Koeno – Research in Mathematics Education, 2018
This article reports on a "post hoc" study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students' results in solving contextual mathematical problems with either a descriptive or a depictive…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Academic Achievement, Foreign Countries
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Tekin-Dede, Ayse; Bukova-Güzel, Esra – The Mathematics Educator, 2018
The purpose of this study was to introduce a rubric named "Rubric for the Assessment of Modeling Skills" for assessing cognitive modeling skills and explaining the rubric's development process. The dimensions of the rubric are understanding the problem, simplifying, mathematizing, working mathematically, interpreting and validating.…
Descriptors: Scoring Rubrics, Mathematics Instruction, Grade 6, Grade 11
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de Cataldo, Riccardo; Griffith, Kaitlyn M.; Fogarty, Keir H. – Journal of Chemical Education, 2018
Introductory chemistry students encounter the concept of hybrid orbitals as a transition from atomic orbitals to molecular bonding. The principal purpose of learning hybridization in the undergraduate curriculum is to impart an understanding of the origins of molecular bonding and geometry. Physical models of both individual hybrid orbitals and…
Descriptors: Introductory Courses, Science Instruction, Visualization, Molecular Structure
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Schukajlow, S.; Kaiser, G.; Stillman, G. – ZDM: The International Journal on Mathematics Education, 2018
The teaching and learning of mathematical modelling is an important research field all over the world. In this paper we present a survey of the state-of-the-art on empirical studies in this field. We analyse the development of studies focusing on cognitive aspects of the promotion of modelling, i.e. the promotion of modelling abilities resp.…
Descriptors: Mathematical Models, Mathematics Instruction, State of the Art Reviews, Educational Research
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Carreira, Susana; Baioa, Ana Margarida – ZDM: The International Journal on Mathematics Education, 2018
Based on a teaching intervention with modelling activities involving experimental work in 9th grade classes, the goal of this study is to find out how students estimate the credibility a modelling task setting when it integrates a hands-on experimental approach. The theoretical background is based on the concept of authenticity and its long…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Observation
Groshong, Kimberly A. – ProQuest LLC, 2018
This dissertation reports the research methodology and findings of three studies focused on mathematical modeling as a structured problem-solving process where the student translates relevant details from a situation, event, or phenomena in daily life into mathematical language with mathematically-defined structures and operations, which form the…
Descriptors: Mathematical Models, Mathematics Skills, Problem Solving, STEM Education
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Santri, Diah Dwi; Hartono, Yusuf; Somakim – Journal of Education and Learning (EduLearn), 2019
This study aims to produce a learning trajectory using the mathematical modeling in helping students to understand the concept of algebraic operations. Therefore, the design research was chosen to meet the research aims and to give in formulating and developing local instructional theory in learning algebraic operations. Learning trajectory…
Descriptors: Mathematical Models, Algebra, Mathematics Instruction, Video Technology
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Bergsten, Christer; Frejd, Peter – ZDM: The International Journal on Mathematics Education, 2019
Based on an investigation of research literature on the role of mathematics within the context of STEM education and twenty-first century skills, this explorative study presents and analyses 19 pre-service teachers' lesson proposals for innovative STEM activities in secondary mathematics classrooms. Drawing on a categorisation of twenty-first…
Descriptors: Mathematics Education, STEM Education, 21st Century Skills, Preservice Teachers
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Kotze, H.; Spangenberg, E. D. – Perspectives in Education, 2019
Many engineering subjects rely on the interpretation of symbolic, numeric and graphic representations. Engineering students have challenges pertaining to their mathematical understanding of their actions with a computer algebra system (CAS). We investigated how a mathematical modelling task could mediate varied levels of mathematical…
Descriptors: Foreign Countries, Computer Uses in Education, Algebra, Educational Technology
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Agoestanto, Arief; Sukestiyarno, Y. L.; Isnarto; Rochmad; Lestari, M. D. – International Journal of Instruction, 2019
The purpose of this research was to describe the positions and causes of students' errors in algebraic thinking based on the cognitive style. This study was qualitative research with subject consisting of twelve students. The results showed that (1) students with Field Independent type tended to make errors at the stage of comprehension,…
Descriptors: High School Students, Cognitive Style, Secondary School Mathematics, Mathematics Education
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Budinski, Natalija – International Journal for Technology in Mathematics Education, 2017
In this paper we display an example of how educational software Geogebra can be used as a tool for the STEM education. Geogebra is used in the process of introducing students in high school to mathematical models of materials science. Scientific results from materials science experiments were used for mathematical modelling and learning about the…
Descriptors: Geometry, Computer Software, STEM Education, High School Students
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2017
Knowing an equation has a unique solution is important from both a modelling and theoretical point of view. For over 70 years, the approach to learning and teaching "well posedness" of initial value problems (IVPs) for second- and higher-order ordinary differential equations has involved transforming the problem and its analysis to a…
Descriptors: Equations (Mathematics), Teaching Methods, Problem Solving, Mathematical Models
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Hanson, J. R. – International Journal of Mathematical Education in Science and Technology, 2017
This article explores the process of finding the Fermat point for a triangle ABC in three dimensions. Three examples are presented in detail using geometrical methods. A delightfully simple general method is then presented that requires only the comparison of coordinates of the vertices A, B and C.
Descriptors: Geometry, Geometric Concepts, Mathematical Models, Mathematical Formulas
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Enderle, Patrick; King, Natalie; Margulieux, Lauren – Science Teacher, 2021
Teaching about wave structure and function is a critical element of any physical science curriculum and supported by "Next Generation Science Standards (NGSS)" PS4: Waves and Their Applications in Technologies for Information Transfer. To support students' learning of these ideas, teachers often rely on developing graphic models of a…
Descriptors: Science Education, Standards, Teaching Methods, Science Curriculum
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