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Zhang, Mengxue; Wang, Zichao; Baraniuk, Richard; Lan, Andrew – International Educational Data Mining Society, 2021
Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved learning outcomes. Most existing approaches for automated student solution analysis and feedback require manually…
Descriptors: Mathematics Instruction, Teaching Methods, Intelligent Tutoring Systems, Error Patterns
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Hurst, Chris; Hurrell, Derek – International Electronic Journal of Mathematics Education, 2020
Multiplicative thinking is widely accepted as a critically important 'big idea' of mathematics that underpins much mathematical understanding beyond the primary years. It is therefore important to ensure not only that children can think multiplicatively, but that they can do so at a conceptual rather than procedural level. This paper reports on a…
Descriptors: Multiplication, Thinking Skills, Mathematics Instruction, Elementary School Students
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Tacoma, Sietske; Heeren, Bastiaan; Jeuring, Johan; Drijvers, Paul – International Journal of Artificial Intelligence in Education, 2020
Hypothesis testing involves a complex stepwise procedure that is challenging for many students in introductory university statistics courses. In this paper we assess how feedback from an Intelligent Tutoring System can address the logic of hypothesis testing and whether such feedback contributes to first-year social sciences students' proficiency…
Descriptors: Hypothesis Testing, Feedback (Response), Intelligent Tutoring Systems, Introductory Courses
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Chen, Xingliang; Mitrovic, Antonija; Mathews, Moffat – IEEE Transactions on Learning Technologies, 2020
Problem solving, worked examples, and erroneous examples have proven to be effective learning activities in Intelligent Tutoring Systems (ITSs). However, it is generally unknown how to select learning activities adaptively in ITSs to maximize learning. In the previous work of A. Shareghi Najar and A. Mitrovic, alternating worked examples with…
Descriptors: Problem Solving, Intelligent Tutoring Systems, Learning Activities, Educational Technology
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Wakhata, Robert; Balimuttajjo, Sudi; Mutarutinya, Védaste – Mathematics Teaching Research Journal, 2023
The present study explored 285 11th-grade students' preconceptions, misconceptions, and errors in solving mathematics tasks by graphical method. A descriptive-explorative study design was adopted. Cluster sampling was used to select students from sampled secondary schools in eastern and central Uganda. Students' paper and pen solution sketches…
Descriptors: Foreign Countries, Secondary School Mathematics, High School Students, Grade 11
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Qetrani, Safâ; Ouailal, Salek; Achtaich, Naceur – EURASIA Journal of Mathematics, Science and Technology Education, 2021
Conceptual understanding is one of the main concerns of mathematics education. Numerous research have discussed student understanding of algebraic concepts, linear equations in particular. This research was drawn upon in order to develop a new approach for teaching and learning linear equations based on the equivalence concept, one that aims to…
Descriptors: Mathematics Instruction, Junior High School Students, Secondary School Mathematics, Mathematical Concepts
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Makamure, Chipo; Jojo, Zingiswa M. – EURASIA Journal of Mathematics, Science and Technology Education, 2022
Literature has established that some learners encountered difficulties solving first order ordinary differential equations (ODEs). The use of error analysis in teaching ODEs is believed to make essential contribution towards calculus knowledge development. This paper therefore focuses on analyzing pre-service teachers' (PSTs) errors and…
Descriptors: Error Patterns, Preservice Teachers, Misconceptions, Mathematics Instruction
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Yazgan-Sag, Gonul; Argun, Ziya – Malaysian Online Journal of Educational Sciences, 2020
This qualitative study examines the gifted students' self-reflections about the mathematical problems in an elaborated way. The participants of the study were three gifted students in 10th grade and 10 problem solving sessions were carried out with these participants. According to findings, the gifted students did not take into account the…
Descriptors: Academically Gifted, Grade 10, Secondary School Students, Mathematics Instruction
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Lischka, Alyson E.; Gerstenschlager, Natasha E.; Stephens, D. Christopher; Strayer, Jeremy F.; Barlow, Angela T. – Mathematics Teacher, 2018
Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…
Descriptors: Mathematics Instruction, Error Patterns, Teaching Methods, Homework
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Nguyen, Huy; Liew, Chun Wai – International Educational Data Mining Society, 2018
Recent works on Intelligent Tutoring Systems have focused on more complicated knowledge domains, which pose challenges in automated assessment of student performance. In particular, while the system can log every user action and keep track of the student's solution state, it is unable to determine the hidden intermediate steps leading to such…
Descriptors: Bayesian Statistics, Intelligent Tutoring Systems, Data Analysis, Error Patterns
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Mbus, Nokwanda P.; Luneta, Kakoma – South African Journal of Childhood Education, 2021
Background: Pre-service teachers (PSTs) training does not equip students with adequate skills and knowledge of geometry to enable them to teach this section of mathematics competently. Inadequate teacher knowledge of transformation geometry, in particular, requires intervention that targets PSTs' faulty reasoning displayed in errors they make.…
Descriptors: Preservice Teachers, Preservice Teacher Education, Elementary School Mathematics, Geometric Concepts
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Krishnamurthy, Gopal – New Educator, 2019
This is a study of my dramatized narrative based on a true story of what took place in a mathematics class in an international school setting. My narrative includes the exploration of a mathematical "mistake" and the discovery of newly emergent problems. The drama, commentary, and reflections provide a close examination of the conduct…
Descriptors: Mathematics Instruction, International Schools, Error Patterns, Teaching Methods
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Samsul Hadi; Heri Retnawati; Sudji Munadi; Ezi Apino; Nidya F. Wulandari – Problems of Education in the 21st Century, 2018
International surveys, such as TIMSS and PISA, frequently put Indonesia in the low ranks. It is an indication that the higher-order thinking skills (HOTS) of students in Indonesia are still low. This research aims to analyze students' difficulties in solving problems that measure HOTS. This is a case study research with a qualitative approach.…
Descriptors: High School Students, Problem Solving, Foreign Countries, Thinking Skills
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Díaz, Verónica; Aravena, Maria; Flores, George – EURASIA Journal of Mathematics, Science and Technology Education, 2020
The article aims to determine the academic performance and errors in the resolution of types of problems of application of the quadratic function, of high school students from the Los Lagos Region and Los Rios Region in Chile. The approach is qualitative and descriptive with case studies. A math test with open response problems and an opinion…
Descriptors: Problem Solving, Mathematics Instruction, Case Studies, Foreign Countries
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Rafferty, Anna N.; Jansen, Rachel A.; Griffiths, Thomas L. – Cognitive Science, 2020
Online educational technologies offer opportunities for providing individualized feedback and detailed profiles of students' skills. Yet many technologies for mathematics education assess students based only on the correctness of either their final answers or responses to individual steps. In contrast, examining the choices students make for how…
Descriptors: Computer Assisted Testing, Mathematics Tests, Mathematics Skills, Student Evaluation
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