Unpacking the black‐box of students' visual attention in Mathematics and English classrooms: Empirical evidence using mini‐video recording gadgets
ANID/PIA/Basal Funds for Centers of Excellence FB0003 Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) CONICYT FONDECYT 3170062
The impact of procedural and conceptual teaching on students' mathematical performance over time
The goal of the present study is to investigate the impact of procedural and conceptual teaching on students' mathematical performance over time. For this purpose, implicit differentiation and inte...
Switching to Fully Online Teaching and Learning of Mathematics: The Case of Norwegian Mathematics Lecturers and University Students During the Covid-19 Pandemic
AbstractTowards the end of 2019, a novel coronavirus, known as COVID-19, was detected and quickly spread worldwide. The resulting pandemic led many countries to lockdown and teaching and learning switched to fully online provision. This study explores how Norwegian higher education lecturers and students of mathematics experienced online provision following this switch in March 2020 when the national lockdown was imposed. Data are generated and analysed using an exploratory sequential mixed methods approach that first entailed interviews with ten mathematics lecturers and six undergraduate students as the foundation for developing a survey instrument. The instrument was designed to explore …
Advancing engineering students’ conceptual understanding through puzzle-based learning: a case study with exact differential equations
AbstractCurrent views on the teaching of differential equations (DEs) are shifting towards the use of graphical and numerical methods. Motivated by recent research suggesting that puzzle-based learning (PzBL) can improve the teaching and learning of STEM subjects and by the lack of relevant studies for DEs, we designed two tasks—sophism and paradox—to explore undergraduate engineering students’ conceptual understanding of a classical topic—exact DEs—and to analyse the process of meaning-making during collaborative learning in small groups. One hundred and thirty-five undergraduate engineering students from a public university in Iran participated. In response to recent research signalling t…
Toward a model for students’ combinatorial thinking
Abstract Combinatorics has many applications in different disciplines, however, only a few studies have explored students’ combinatorial thinking at the upper secondary and tertiary levels concurrently. The present research is a grounded theory study of eight Year 12 and five undergraduate students, who have participated in semi-structured interviews and responded to eight combinatorial tasks. Three types of combinatorial tasks were designed: combinatorial reasoning, evaluating, and problem-posing tasks. In the open coding phase of data analysis, seventy-one codes were identified which categorized into seven main categories at the axial coding phase. At the selective coding phase, five rela…
Exploring students’ proof comprehension of the Cauchy Generalized Mean Value Theorem
AbstractUndergraduate students majoring in mathematics often face difficulties in comprehending mathematical proofs. Inspired by a number of studies related to students’ proof comprehension, and Mejia-Ramos et al.’s study in particular, a test was designed in relation to the proof comprehension of the Cauchy Generalized Mean Value Theorem (CGMVT). The test mainly focused on (a.) investigating students’ understanding of relations between the statements within the CGMVT proof and (b.) the relations between the CGMVT and other theorems. Thirty-five first-year university students voluntarily participated in this study. In addition, 10 of these students were subsequently interviewed to seek thei…
Exploring Students’ Metacognitive Knowledge: The Case of Integral Calculus
Previous studies of integral calculus have mainly explored students&rsquo
Exploring students’ metacognition in relation to an integral-area evaluation task
Several studies have been conducted to explore students’ understanding of the integral-area relationships, however, only a few focused on students’ metacognition in relation to this topic. In this study, students’ metacognitive knowledge, skills, and experiences in relation to an integral-area evaluation task are explored using semi-structured interviews and think-aloud protocol. The results show that several students developed monitoring strategies in relation to integral-area relationships; however, they do not use these strategies when solving integral-area tasks. The findings suggest that teachers and lecturers could use monitoring strategies more often when solving mathematical questio…
Gruppebasert prosjektoppgave i matematikk: Veiledernes erfaringer
I denne presentasjonen vil vi rapportere veilederes erfaringer med å bidra i et matematisk modelleringsprosjekt. Prosjektet ble introdusert i begynnelsen av første semester matematikkurs for ingeniørstudenter. Målet med prosjektet er å knytte matematikken til realistiske ingeniørgfag problemstillinger og at studentene skal få en nærmere tilknytning til faglærerne i sitt felt. Vi ønsker også å lære studentene flere matematiske kompetanser, som det er vanskelig å trene i forelesninger og øvingstimer. I prosjektet ble 483 studenter delt i 70 grupper som ble veiledet av 20 faglig ansatte fra alle seksjoner av ingeniøravdelingene. Veilederne rapporterer om at de opplever prosjektoppgaven som et …
A transition to online teaching and learning of mathematics in Norwegian higher education institutions: the perspectives of lecturers and students
Abstract This paper reports a study of university lecturers’ and students’ experiences of teaching and learning mathematics following the abrupt requirement to switch to online teaching in 2020. A goal of the study is to share experiences that could be useful to improve the teaching and learning of mathematics in online settings. The qualitative research described is a phenomenological study and draws on interviews with ten mathematics lecturers and six undergraduate students who were enrolled in at least one university mathematical course during the lockdown in 2020. The interview data were analysed using a thematic approach. This paper reports findings regarding perceptions of lecturers a…