# Problem‐based instruction in mathematics and its impact on the cognitive results of the students and on affective‐motivational aspects

@article{Cotic2009ProblembasedII, title={Problem‐based instruction in mathematics and its impact on the cognitive results of the students and on affective‐motivational aspects}, author={Marina Cotic and Milena Valen{\vc}i{\vc} Zuljan}, journal={Educational Studies}, year={2009}, volume={35}, pages={297 - 310} }

International studies on the knowledge of mathematics at the generalist‐class teaching level have indicated that Slovene students are quite skilled at computations, but have difficulties solving mathematical problems. This finding stimulated us to create a problem‐based instruction model. We wanted to find out whether the students in the experimental group, who received problem‐based instruction, would display greater ability in solving difficult mathematical problems compared to the group…

## 63 Citations

The implementation of problem-based learning in a Taiwanese primary mathematics classroom: lessons learned from the students’ side of the story

- Psychology
- 2017

Abstract Research on problem-based learning (PBL) has tended to focus on the graduate level of education, paying less attention to the primary school level and to what is involved for students during…

The Impacts of Implementing Problem-Based Learning (PBL) in Mathematics: A Review of Literature

- 2016

Mathematics is a subject that relates to the real world and is applied in various fields. However, the teaching and learning of mathematics is more procedural and requires drill and practice. For…

Primary 6 students’ attitudes towards mathematical problem-solving in a problem-based learning setting

- Psychology
- 2011

Research has indicated that student attitudes towards mathematics and mathematics learning can impact on mathematics achievement. While research has also indicated that unconventional pedagogies such…

Impact of a Social Constructivist Instructional Strategy on Performance in Algebra with a Focus on Secondary School Students

- Psychology
- 2020

There have been perennial concerns on the low academic performance of students among researchers and other education stakeholders. Innovative teaching strategies have, therefore, gained prominence in…

The problem with problems: Potential difficulties in implementing problem-based learning as the core method in primary school mathematics

- Psychology
- 2011

This viewpoint paper presents the writer's opinion that while the use of problem solving as the core method for learning mathematics is valid and reasonable in secondary schools (where students…

The effectiveness of problem-based learning in the further mathematics classroom

- Psychology, Computer Science
- 2011

It is recommended that PBL should not only be added to learner-centered, minds-on strategies for teaching Further Mathematics at the secondary schools but more importantly should be integrated into the curriculum of Pre-service teachers in the tertiary institutions.

Strategies, Difficulties, and Written Communication in Solving a Mathematical Problem

- Computer ScienceBolema: Boletim de Educação Matemática
- 2021

This article aims to identify the strategies students use to solve a problem, acknowledge the difficulties students experience, and characterize students’ written communication in their answers to a mathematical problem solved by 12th grade students.

Teach Ourselves: Technology to Support Problem Posing in the STEM Classroom

- Computer Science
- 2012

Middle school students could successfully create math and science problems using a web-based content-authoring and sharing system, and if the activity could be successfully integrated into classroom instruction.

Integrating algebraic thinking in problem-based learning among secondary school students

- Psychology
- 2017

Algebraic thinking is a very important skill that should be mastered by students at an early stage before learning algebra. However, algebraic thinking is not emphasized in learning algebra.…

The Effects of Differentiating Instruction by Learning Styles on Problem Solving in Cooperative Groups.

- Psychology
- 2011

It can be difficult to find adequate strategies when teaching problem solving in a standard based mathematics classroom. The purpose of this study was to improve students’ problem solving skills and…

## References

SHOWING 1-10 OF 29 REFERENCES

Using Knowledge of Children’s Mathematics Thinking in Classroom Teaching: An Experimental Study

- Psychology
- 1989

This study investigated teachers’ use of knowledge from research on children’s mathematical thinking and how their students’ achievement is influenced as a result. Twenty first grade teachers,…

ARITHMETIC FROM A PROBLEM-SOLVING PERSPECTIVE: AN URBAN IMPLEMENTATION

- Mathematics
- 1993

Twelve first-grade teachers participated in a staff development effort designed to provide them with opportunities to examine ways to teach the first-grade mathematics curriculum from a…

Cognitively Guided Instruction: A Knowledge Base for Reform in Primary Mathematics Instruction

- PsychologyThe Elementary School Journal
- 1996

In this article we propose that an understanding of students' thinking can provide coherence to teachers' pedagogical content knowledge and their knowledge of subject matter, curriculum, and…

With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics

- PsychologyThe Elementary School Journal
- 1993

Ideas like "understanding," "authenticity," and "community" are central in current debates about curriculum, instruction, and assessment. Many believe that teaching and learning would be improved if…

Essay Reviews: Making Mathematics: Children's Learning and the Constructivist Tradition

- Sociology
- 1986

The cover notes of Constance Kamii's book (with Georgia DeClark) tell us that she "has translated Piagetian theory of logico-mathematical knowledge into a con crete program of games and activities…

Teacher perceptions of the goals of effective school reform and their own role in it

- Psychology
- 2007

The role of the teacher in the modern school system is increasingly important and complex. A teacher needs a high level of professional knowledge and autonomous decision‐making when faced with…

Students’ conceptions of knowledge, the role of the teacher and learner as important factors in a didactic school reform

- Psychology
- 2007

In the first part of this paper, conceptions of trainee teachers are defined, together with their importance for the process of teacher education. Many studies concerning teacher conceptions and…

Instruction, Understanding, and Skill in Multidigit Addition and Subtraction

- Psychology
- 1996

We traced the emerging relations between children's understanding of multidigit numbers and their computational skill and investigated how instruction influenced these relations. We followed about 70…

Teachers' concerns regarding the adoption of a new mathematics curriculum: An application of CBAM

- 2004

The main purpose of the present study was to identify and examine the concerns of primary school teachers in Cyprus in relation to the recent implementation of a new mathematics curriculum and the…

Links between teaching and learning place value with understanding in first grade.

- Psychology
- 1992

Conceptually based instruction on place value and two-digit addition and subtraction without regrouping was provided in four first-grade classrooms, and more conventional textbook-based instruction…