Farzad Radmehr

About

I am a mathematics educator who enjoys conducting research on how teaching and learning mathematics can be improved at upper secondary and tertiary levels. I hold two PhDs in mathematics education, and I have a background in pure mathematics (have a B.Sc. in pure mathematics and took some postgraduate mathematics courses as part of my master and first PhD). For more information, please see my CV.

Education

PhD in Mathematics Education (2013-2016). Victoria University of Wellington, New Zealand.
Thesis Title. Exploring students’ learning of integral calculus using Revised Bloom’s Taxonomy
PhD in Applied Mathematics- Mathematics Education (2011-2014). Ferdowsi University of Mashhad, Iran.
Thesis Title. Cluster analysis: A tool for analyzing data in the psychology of learning mathematics (19.80 out of 20).
M.Sc. in Mathematics Education (2009-2011). Ferdowsi University of Mashhad, Iran.
Thesis Title. Analyzing students’ mathematical performance based on Revised Bloom’s Taxonomy (20 out of 20).
B.Sc. in Pure Mathematics (2005-2009). Ferdowsi University of Mashhad, Iran.
Thesis Title. Ethno-mathematics (19 out of 20).

Research

My research focuses on improving the teaching and learning of mathematics at the upper secondary and tertiary levels. I am also interested in mathematical modelling, networking learning theories, and task design in mathematics education.

Lesson Design Study and Teaching Resources

Improving teaching and learning of graph theory

Two topics were considered: vertex coloring and the tree concept

Improving teaching and learning of differential equations

Two topics were considered: Exact differential equations and the Laplace transform.

Improving teaching and learning of calculus

The focused topics so far are derivative and integral calculus

Principles for and approaches to task design in mathematics education

Different approaches and frameworks were considered for task design in mathematics education, including problem posing, puzzle-based learning, using Revised Bloom's taxonomy and metacognition

Publications

2023

Haghjoo, Saeid; Radmehr, Farzad; Reyhani, Ebrahim. (2023) Correction to: Analyzing the written discourse in calculus textbooks over 42 years: the case of primary objects, concrete discursive objects, and a realization tree of the derivative at a point (Educational Studies in Mathematics, (2023), 112, 1, (73-102), 10.1007/s10649-022-10168-y). Educational Studies in Mathematics
Errata
Radmehr, Farzad; Turgut, Melih. (2023) Economics students’ perception of effective teaching of mathematics at the tertiary level. Nordic Journal of STEM Education
Academic article
Rezvanifard, Faezeh; Radmehr, Farzad; Drake, Michael. (2023) Perceptions of Lecturers and Engineering Students of Sophism and Paradox: The Case of Differential Equations. Education Sciences
Academic article
Radmehr, Farzad; Tohidinasab, Khaled; Tavakoli, Mostafa. (2023) Teaching and Learning of Vertex Coloring Using an Inquiry-Based Approach. PRIMUS - Problems, Resources, and issues in mathematics undergraduate studies
Academic article
Radmehr, Farzad. (2023) Toward a theoretical framework for task design in mathematics education. Journal on Mathematics Education (JME)
Academic article

2022

Radmehr, Farzad; Ezzati, Mahnaz. (2022) Exploring engineering students’ engagement with proof without words: The case of calculus . Société européenne pour la formation des ingénieurs (SEFI)
Academic chapter/article/Conference paper
Radmehr, Farzad; Goodchild, Simon. (2022) Switching to Fully Online Teaching and Learning of Mathematics: The Case of Norwegian Mathematics Lecturers and University Students During the Covid‑19 Pandemic. International Journal of Research in Undergraduate Mathematics Education
Academic article
Radmehr, Farzad; Goodchild, Simon. (2022) A transition to online teaching and learning of mathematics in Norwegian higher education institutions: the perspectives of lecturers and students . Teaching Mathematics and its Applications
Academic article
Haghjoo, Saeid; Radmehr, Farzad; Reyhani, Ebrahim. (2022) Analyzing the written discourse in calculus textbooks over 42 years: the case of primary objects, concrete discursive objects, and a realization tree of the derivative at a point. Educational Studies in Mathematics
Academic article
Rezvanifard, Faezeh; Radmehr, Farzad; Rogovchenko, Yuriy. (2022) Advancing engineering students' conceptual understanding through puzzle-based learning: a case study with exact differential equations. Teaching Mathematics and its Applications
Academic article

2021

Radmehr, Farzad; Nedaei, Mahboubeh; Drake, Michael. (2021) Introducing an elective mathematics education course for mathematics majors. PRIMUS - Problems, Resources, and issues in mathematics undergraduate studies
Academic article
Radmehr, Farzad; Drake, Michael. (2021) Exploring students’ metacognition in relation to an integral-area evaluation task. Skrifter från Svensk förening för matematikdidaktisk forskning
Academic article
Radmehr, Farzad; Goodchild, Simon. (2021) Online mathematics teaching and learning during the COVID-19 pandemic: The perspective of lecturers and students . Nordic Journal of STEM Education
Academic article
Radmehr, Farzad; Niazi, Najmeh; Rezvanifard, Faezeh; Farsani, Danyal; Laban, Winnie; Overton, John. (2021) How do university students of different ethnic backgrounds perceive factors that hinder learning in STEM and non-STEM majors?. Higher Education Research and Development
Academic article
Radmehr, Farzad; Nedaei, Mahboubeh; Rezvanifard, Faezeh. (2021) Task design in Engineering mathematical courses: The case of problem posing and puzzle tasks. Société européenne pour la formation des ingénieurs (SEFI)
Academic chapter/article/Conference paper
Nedaei, Mahboubeh; Radmehr, Farzad; Drake, Michael. (2021) Exploring undergraduate engineering students’ mathematical problem-posing: the case of integral-area relationships in integral calculus. Mathematical Thinking and Learning
Academic article
Rezvanifard, Faezeh; Radmehr, Farzad. (2021) How do undergraduate engineering students engage with puzzle problems related to first-order differential equations?. The Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education
Report

2020

Radmehr, Farzad; Laban, Winnie; Overton, John; Bakker, Leon. (2020) Student perceptions of effective lecturers: the need to recognise the role of ethnicity and choice of discipline. Higher Education Research and Development
Academic article
Farsani, Danyal; Radmehr, Farzad; Alizadeh, Mohadaseh; Zakariya, Yusuf F.. (2020) Unpacking the black-box of students’ visual attention in Mathematics and English classrooms: Empirical evidence using mini-video recording gadgets . Journal of Computer Assisted Learning
Academic article
Kolahdouz, Fahimeh; Radmehr, Farzad; Alamolhodaei, Hassan. (2020) Exploring students’ proof comprehension of the Cauchy Generalized Mean Value Theorem. Teaching Mathematics and its Applications
Academic article
Radmehr, Farzad; Drake, Michael. (2020) Exploring Students’ Metacognitive Knowledge: The Case of Integral Calculus. Education Sciences
Academic article
Salavati Nejad, Naghme; Alamolhodaei, Hassan; Radmehr, Farzad. (2020) Toward a model for students’ combinatorial thinking. Journal of Mathematical Behavior
Academic article
Radmehr, Farzad; Nedaei, Mahboubeh; Drake, Michael. (2020) Exploring undergraduate engineering students’ competencies and attitudes towards mathematical problem posing in integral calculus.
Academic chapter/article/Conference paper
Radmehr, Farzad; Vos, Pauline. (2020) Issues and challenges of 21st century assessment in mathematics education. Nova Science Publishers
Academic chapter/article/Conference paper

2014

Radmehr, Farzad; Alamolhodaei, Hassan. (2014) Who should be interviewed? A response from cluster analysis. Journal of practice in clinical psychology
Academic article
Rahbarnia, Freydoon; Hamedian, Salehe; Radmehr, Farzad. (2014) A Study on the relationship between multiple intelligences and mathematical problem solving based on Revised Bloom’s Taxonomy. Journal of Interdisciplinary Mathematics (JIM)
Academic article

2012

Mousavi, Shima; Radmehr, Farzad; Alamolhodaei, Hassan. (2012) The role of mathematical homework and prior knowledge on the relationship between students’ mathematical performance, cognitive style and working memory capacity. Revista Electrónica de Investigación Psicoeducativa
Academic article

Journal publications

Haghjoo, Saeid; Radmehr, Farzad; Reyhani, Ebrahim. (2023) Correction to: Analyzing the written discourse in calculus textbooks over 42 years: the case of primary objects, concrete discursive objects, and a realization tree of the derivative at a point (Educational Studies in Mathematics, (2023), 112, 1, (73-102), 10.1007/s10649-022-10168-y). Educational Studies in Mathematics
Errata
Radmehr, Farzad; Turgut, Melih. (2023) Economics students’ perception of effective teaching of mathematics at the tertiary level. Nordic Journal of STEM Education
Academic article
Rezvanifard, Faezeh; Radmehr, Farzad; Drake, Michael. (2023) Perceptions of Lecturers and Engineering Students of Sophism and Paradox: The Case of Differential Equations. Education Sciences
Academic article
Radmehr, Farzad; Tohidinasab, Khaled; Tavakoli, Mostafa. (2023) Teaching and Learning of Vertex Coloring Using an Inquiry-Based Approach. PRIMUS - Problems, Resources, and issues in mathematics undergraduate studies
Academic article
Radmehr, Farzad. (2023) Toward a theoretical framework for task design in mathematics education. Journal on Mathematics Education (JME)
Academic article
Radmehr, Farzad; Goodchild, Simon. (2022) Switching to Fully Online Teaching and Learning of Mathematics: The Case of Norwegian Mathematics Lecturers and University Students During the Covid‑19 Pandemic. International Journal of Research in Undergraduate Mathematics Education
Academic article
Radmehr, Farzad; Goodchild, Simon. (2022) A transition to online teaching and learning of mathematics in Norwegian higher education institutions: the perspectives of lecturers and students . Teaching Mathematics and its Applications
Academic article
Haghjoo, Saeid; Radmehr, Farzad; Reyhani, Ebrahim. (2022) Analyzing the written discourse in calculus textbooks over 42 years: the case of primary objects, concrete discursive objects, and a realization tree of the derivative at a point. Educational Studies in Mathematics
Academic article
Rezvanifard, Faezeh; Radmehr, Farzad; Rogovchenko, Yuriy. (2022) Advancing engineering students' conceptual understanding through puzzle-based learning: a case study with exact differential equations. Teaching Mathematics and its Applications
Academic article
Radmehr, Farzad; Nedaei, Mahboubeh; Drake, Michael. (2021) Introducing an elective mathematics education course for mathematics majors. PRIMUS - Problems, Resources, and issues in mathematics undergraduate studies
Academic article
Radmehr, Farzad; Drake, Michael. (2021) Exploring students’ metacognition in relation to an integral-area evaluation task. Skrifter från Svensk förening för matematikdidaktisk forskning
Academic article
Radmehr, Farzad; Goodchild, Simon. (2021) Online mathematics teaching and learning during the COVID-19 pandemic: The perspective of lecturers and students . Nordic Journal of STEM Education
Academic article
Radmehr, Farzad; Niazi, Najmeh; Rezvanifard, Faezeh; Farsani, Danyal; Laban, Winnie; Overton, John. (2021) How do university students of different ethnic backgrounds perceive factors that hinder learning in STEM and non-STEM majors?. Higher Education Research and Development
Academic article
Nedaei, Mahboubeh; Radmehr, Farzad; Drake, Michael. (2021) Exploring undergraduate engineering students’ mathematical problem-posing: the case of integral-area relationships in integral calculus. Mathematical Thinking and Learning
Academic article
Radmehr, Farzad; Laban, Winnie; Overton, John; Bakker, Leon. (2020) Student perceptions of effective lecturers: the need to recognise the role of ethnicity and choice of discipline. Higher Education Research and Development
Academic article
Farsani, Danyal; Radmehr, Farzad; Alizadeh, Mohadaseh; Zakariya, Yusuf F.. (2020) Unpacking the black-box of students’ visual attention in Mathematics and English classrooms: Empirical evidence using mini-video recording gadgets . Journal of Computer Assisted Learning
Academic article
Kolahdouz, Fahimeh; Radmehr, Farzad; Alamolhodaei, Hassan. (2020) Exploring students’ proof comprehension of the Cauchy Generalized Mean Value Theorem. Teaching Mathematics and its Applications
Academic article
Radmehr, Farzad; Drake, Michael. (2020) Exploring Students’ Metacognitive Knowledge: The Case of Integral Calculus. Education Sciences
Academic article
Salavati Nejad, Naghme; Alamolhodaei, Hassan; Radmehr, Farzad. (2020) Toward a model for students’ combinatorial thinking. Journal of Mathematical Behavior
Academic article
Radmehr, Farzad; Drake, Michael. (2019) Students’ mathematical performance, metacognitive experiences and metacognitive skills in relation to integral-area relationships. Teaching Mathematics and its Applications
Academic article
Radmehr, Farzad; Drake, Michael. (2019) Revised Bloom’s taxonomy and major theories and frameworks that influence the teaching, learning, and assessment of mathematics: a comparison. International Journal of Mathematical Education in Science and Technology
Academic article
Borji, Vahid; Radmehr, Farzad; Font, Vicenç. (2019) The impact of procedural and conceptual teaching on students' mathematical performance over time. International Journal of Mathematical Education in Science and Technology
Academic article
Nedaei, Mahboubeh; Radmehr, Farzad; Drake, Michael. (2019) Exploring Engineering Undergraduate Students’ Attitudes toward Mathematical Problem Posing. Journal of professional issues in engineering education and practice
Academic article
Radmehr, Farzad; Drake, Michael. (2018) An assessment-based model for exploring the solving of mathematical problems: Utilizing revised bloom’s taxonomy and facets of metacognition. Studies in Educational Evaluation
Academic article
Radmehr, Farzad; Laban, Winnie; Overton, John; Bakker, Leon. (2018) Motivational Strategies of University Students in New Zealand: The Role of Ethnicity. The Asia-Pacific Education Researcher (TAPER)
Academic article
Borji, Vahid; Alamolhodaei, Hassan; Radmehr, Farzad. (2018) Application of the APOS/ACE Theory to improve Students’ Graphical Understanding of Derivative. EURASIA Journal of Mathematics, Science and Technology Education
Academic article
Radmehr, Farzad; Drake, Michael. (2017) Exploring students' mathematical performance, metacognitive experiences and skills in relation to fundamental theorem of calculus. International Journal of Mathematical Education in Science and Technology
Academic article
Radmehr, Farzad; Drake, Michael. (2017) Revised Bloom's taxonomy and integral calculus: unpacking the knowledge dimension. International Journal of Mathematical Education in Science and Technology
Academic article
Radmehr, Farzad; Alamolhodaei, Hassan. (2014) Who should be interviewed? A response from cluster analysis. Journal of practice in clinical psychology
Academic article
Rahbarnia, Freydoon; Hamedian, Salehe; Radmehr, Farzad. (2014) A Study on the relationship between multiple intelligences and mathematical problem solving based on Revised Bloom’s Taxonomy. Journal of Interdisciplinary Mathematics (JIM)
Academic article
Mousavi, Shima; Radmehr, Farzad; Alamolhodaei, Hassan. (2012) The role of mathematical homework and prior knowledge on the relationship between students’ mathematical performance, cognitive style and working memory capacity. Revista Electrónica de Investigación Psicoeducativa
Academic article

Part of book/report

Radmehr, Farzad; Ezzati, Mahnaz. (2022) Exploring engineering students’ engagement with proof without words: The case of calculus . Société européenne pour la formation des ingénieurs (SEFI)
Academic chapter/article/Conference paper
Radmehr, Farzad; Nedaei, Mahboubeh; Rezvanifard, Faezeh. (2021) Task design in Engineering mathematical courses: The case of problem posing and puzzle tasks. Société européenne pour la formation des ingénieurs (SEFI)
Academic chapter/article/Conference paper
Radmehr, Farzad; Nedaei, Mahboubeh; Drake, Michael. (2020) Exploring undergraduate engineering students’ competencies and attitudes towards mathematical problem posing in integral calculus.
Academic chapter/article/Conference paper
Radmehr, Farzad; Vos, Pauline. (2020) Issues and challenges of 21st century assessment in mathematics education. Nova Science Publishers
Academic chapter/article/Conference paper

Report

Rezvanifard, Faezeh; Radmehr, Farzad. (2021) How do undergraduate engineering students engage with puzzle problems related to first-order differential equations?. The Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education
Report

Teaching

Courses

MGLU5504 - Theories of Science and Research Methods 5-10 (Mathematics)

More than ten years (since 2011) experience teaching mathematics (pre-calculus, calculus, multivariable calculus, differential equations, and introductory linear algebra) and mathematics education at the tertiary level in New Zealand, Norway, and Iran, including master and PhD courses in mathematics education.

Supervision

Completed supervision

I was part of the supervision team of five PhD and 13 master theses in mathematics education since 2015.

Doctoral theses

1. Haghjoo, S. (2023). Designing a model of students’ thinking about the relationship between the graph of the derivative function and its antiderivative. Shahid Rajaee Teacher Training University.

2. Salavati Nejad, N. (2021). Developing a model of students’ combinatorial thinking using a grounded theory approach. Ferdowsi University of Mashhad.

3. Amani, A. (2020). Introducing mathematical models for predicting mathematics attitude, anxiety and mathematical performance. Ferdowsi University of Mashhad.

4. Kolahdooz, F. (2018). Exploring students’ mathematical proof comprehension in a paper-pencil and a dynamic assessment. Ferdowsi University of Mashhad.

5. Borji, V. (2018). Application of the APOS-ACE theory to improve students’ graphical understanding of the derivative. Ferdowsi University of Mashhad.

Master theses

1. Tøsse, A. V. and Rege, P. H. (2023). Integrating teaching and learning of statistics with puzzle-based learning:
A commognitive study. Norwegian University of Science and Technology.

2. Bedsvaag, F. G. and Moan M. (2023). Integrating mathematical modelling activities with math trails: A mixed
methods study of pupils at 9th grade. Norwegian University of Science and Technology.

3. Vildgren, F. (2023). Integrating math trails with mathematical modelling tasks related to fractions at the primary
level. Norwegian University of Science and Technology.

4. Rohde, R. (2022). The introduction of the derivative in German and Norwegian schools: A comparative schoolbook analysis. Berlin Institute of Technology/Norwegian University of Science and Technology.

5. Ezzati, M. (2022). Exploring the possibility of using proofs without words to improve the teaching and learning of integral calculus. Ferdowsi University of Mashhad.

6. Taghizadeh Bilandi, M. (2021). Exploring students’ mathematical understanding of the concept of tree using APOS theory and Tall’s three worlds of mathematics. Ferdowsi University of Mashhad.

7. Ⅿirsonⅾosi, M. (2020). Exploring the possibility of using a flipped classroom teaching method to improve the teaching and learning of mathematics at the undergraduate level. Ferdowsi University of Mashhad.

8. Rezvanifard, F. (2019). On the possibility of using puzzle-based learning to improve the teaching and learning of differential equations. Ferdowsi University of Mashhad.

9. Hosieni, A. S. (2019). Components of pedagogical content knowledge for teaching limits and continuity. Ferdowsi University of Mashhad.

10. Borji, A. (2019). Exploring resources, orientations, and goals of Year 12 mathematics teachers and mathematics lecturers. Ferdowsi University of Mashhad.

11. Mahbubeh, N. (2018). Exploring students’ abilities and attitudes towards problem posing in integral calculus. Ferdowsi University of Mashhad.

12. Moghaddam, K. (2018). Content analysis of integral calculus topic of Year 12 calculus textbook based on Revised Bloom's taxonomy. Ferdowsi University of Mashhad.

13. Niazi, N. (2017). Components of effective teaching from the perspectives of mathematics lecturers. Ferdowsi University of Mashhad.

Media

2021

Academic lecture

Radmehr, Farzad; Rezvanifard, Faezeh; Drake, Michael. (2021) The attitudes of lecturers and students towards puzzle-based learning: The case of differential equations. The 14th International Congress on Mathematical Education 2021-07-11 - 2021-07-18
Academic lecture

Gjesteland, Thomas; Lima, Vegard; Lunøe-Nielsen, Sverre A; Radmehr, Farzad; Goodchild, Simon. (2021) Gruppebasert prosjektoppgave i matematikk: Veiledernes erfaringer. UHR-MNT, Realfagssenteret,MatRIC, UiA MNT konferansen 2021 , Kristiansand 2021-03-15 - 2021-03-16

2019

Academic lecture

Radmehr, Farzad. (2019) Improving the quality of teaching, learning, and assessment of mathematics at higher education: Utilizing Revised Bloom’s Taxonomy and facets of metacognition . MatRIC MatRIC Conference 2019 , Bergen 2019-10-14 - 2019-10-15

Språkvelger

Farzad Radmehr

Farzad Radmehr

About

Competencies

Research

Improving teaching and learning of graph theory

Improving teaching and learning of differential equations

Improving teaching and learning of calculus

Principles for and approaches to task design in mathematics education

Publications

2023

2022

2021

2020

2019

2018

2017

2014

2012

Journal publications

Part of book/report

Report

Teaching

Courses

Supervision

Media

2021

2019