How to develop problem solving skills in mathematics?
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| This proves that the implementation of problem-solving strategies in teaching and learning successfully increases student achievement and students’ knowledge of problem-solving besides positively affecting students’ problem-solving skills. | |
01 Jan 2015 | Problem-solving strategies should be developed through active teaching of mathematics, in particular the skills of subdivision of a problem into stages. |
| The findings suggest the importance of problem solving skills in influencing secondary school students’ mathematics achievement through the development of metacognitive awareness. | |
| The results of this study demonstrated a functional relation between VP and participants’ mathematical problem-solving skills. | |
28 Feb 2015 | It concludes that mathematics problem-solving knowledge for teaching is a complex network of interdependent knowledge. |
80 Citations | Realistic mathematics education and the DAPIC problem-solving process should be collaboratively used to develop students' mathematical literacy. |
91 Citations | This study provides evidence that inductive reasoning, domain- specific problem solving and complex problem solving are related but distinct constructs and these skills can be fostered most efficiently between Grades 6 and 8. |
01 Feb 2016 | Meanwhile, analysis of teacher's beliefs on problem solving shows that teachers tend to view both mathematics and how students should learn mathematics as body static perspective, while they tend to believe to apply idea of problem solving as dynamic approach when teaching mathematics. |
44 Citations | This research supports the idea that instruction in mathematical problem solving should focus on the development of qualitative reasoning skills–such as how to build a mental model of the problem situation–in addition to quantitative reasoning skills–such as executing computational procedures. |
| We have proven through experiments that lab exercises designed with guidelines provided to solve the problem are very effective way of teaching problem solving skills. | |
| The results suggest problem solving and study skills are potential areas for further improvement in learning. | |
| In this paper we argue that a more explicit approach to teaching problem solving strategies may lead to better problem solvers. | |
55 Citations | First, 5th-grade teachers believe that problem solving in mathematics in primarily an application of computational skills. |
| The deficiency of these mathematics skills and also of cognitive abilities in learning inhibits the mathematics problem-solving. | |
| From the findings it was observed that the use of problem solving method enhanced the achievement of the students in mathematics. | |
| The results of the study revealed that pre-service elementary mathematics teachers have capability to use problem solving strategies and to solve problems; however the use of different strategies is rather limited. | |
| As a result, it was found out that the mathematics teachers who work in the Ministry of National Education and teach at the 9th grade, have been given importance to problem-solving skills such as, problem-solving duration and problem-solving methods in their classes. | |
| Therefore, not only the students should have the required mathematical knowledge and a good repertoire of different problem solving strategies, but also they should know when and how to use those strategies, along with monitoring and regulating their problem-solving processes using their metacognitive skills. | |
126 Citations | Nevertheless, these problem-solving activities should be useful references for helping students make sense of mathematics. |
| This study can provide an alternative or guidance for teachers to improve students’ mathematical problem-solving skills. | |
| Results show that the students have a mixture of difficulties in mathematics skills and their cognitive abilities in learning further intricate the difficulties faced by the students in their mathematics problem-solving. |
Related Questions
What is the students performance of mathematical skills in problem solving in case of Understanding the problem?5 answersIn terms of understanding the problem in mathematical problem-solving, students exhibit varying levels of performance. Students in different studies show differences in their abilities to grasp and articulate the given problems. For instance, students in Musi Banyuasin displayed medium problem-solving skills, with inconsistencies in handling Higher Order Thinking Skills (HOTS) questions. On the other hand, students with high self-efficacy in Surabaya were better at determining known and unknown elements compared to low self-efficacy students, who struggled with detailed restatements and data adequacy explanations. Additionally, students in Kediri Regency demonstrated metacognitive activities like awareness and evaluation during problem understanding, with varying levels of effectiveness based on their mathematical abilities. These findings highlight the importance of addressing students' diverse needs in understanding mathematical problems.
How does mathematical activities enable learner develop problem solving skills?5 answersMathematical activities play a crucial role in developing problem-solving skills among learners. Engaging in activities that involve computational thinking (CT) concepts, such as abstraction, algorithmic thinking, decomposition, and evaluation, enhances students' abilities to solve mathematical problems effectively. Similarly, utilizing the Model-Eliciting Activities (MEAs) approach in learning has been shown to significantly improve students' mathematical problem-solving abilities compared to conventional methods, fostering a positive attitude towards learning. However, challenges exist in optimizing problem-solving skills, as some factors like inadequate learning tools and passive learning approaches hinder the development of students' problem-solving abilities in mathematics. Recognizing the mathematical aspects in various activities, even in outdoor settings, can further support teachers in guiding students to apply mathematical ideas practically, thereby enhancing their problem-solving capabilities.
What's problem-solving in mathematics?5 answersProblem-solving in mathematics involves utilizing critical thinking skills to find solutions to mathematical challenges. It encompasses metacognitive, cognitive, and affective factors that influence the process. Different approaches and phases are identified within mathematical problem-solving, especially in scientific practices like mathematical social science. Teachers play a crucial role in guiding students through various types of mathematical problems and solution methods, impacting students' understanding and approach to problem-solving. Incorporating real-world contexts into mathematical problems can enhance students' learning experiences and help develop 21st-century skills essential for success in their careers. Overall, mathematical problem-solving is a fundamental building block of mathematics education, requiring a combination of skills, strategies, and approaches to effectively tackle challenges and find solutions.
How to improve critical thinking and problem-solving skills in math?5 answersTo improve critical thinking and problem-solving skills in math, several approaches can be taken. One effective method is problem-based learning (PBL), which involves presenting students with real-world problems to solve. PBL has been found to have a positive impact on students' critical thinking skills. Another approach is the use of digital tools and online learning platforms, which can facilitate problem-solving and critical thinking by providing interactive and engaging learning experiences. Collaborative learning is also beneficial, as it allows students to work together and learn from each other's perspectives, enhancing their critical thinking and problem-solving abilities. Additionally, the use of open-ended questions and advocacy learning can stimulate critical thinking by encouraging students to think deeply and independently about mathematical problems. By implementing these strategies, educators can effectively enhance students' critical thinking and problem-solving skills in math.
How can students be taught to solve math problems more effectively?5 answersStudents can be taught to solve math problems more effectively by explicitly teaching problem-solving processes and strategies, as well as providing opportunities for discussion and collaboration. Research has shown that teaching problem-solving processes and metacognitive strategies can improve students' math problem-solving skills. Additionally, implementing a learning community model in the classroom can also enhance students' mathematical problem-solving abilities. Furthermore, students who have skills in self-regulated thinking (SRT) have shown success in solving math questions, indicating the importance of designing math lessons that allow students to express and improve their thinking skills. Computer-implemented methods and systems can also be utilized to teach students how to solve mathematical problems, by providing question descriptions, aggregating student statements, and matching them against a database of mathematical rules. Effective instructional strategies and intervention materials are also available to address students' conceptual gaps in math problem solving and help them meet the Common Core State Standards for Mathematics (CCSSM).
What are some professional development program studies that seek to develop mathematics teachers problem-solving instruction?5 answersProfessional development programs that seek to develop mathematics teachers' problem-solving instruction include the Developing Mathematical Ideas (DMI) program, a well-developed mathematics professional development program, and a learner-centered mathematics professional development program. These programs aim to enhance teachers' specialized knowledge for teaching mathematics and improve their instructional practices. The DMI program, in particular, has been found to have a positive impact on teachers' mathematical knowledge for teaching. Additionally, research has shown that teachers' content knowledge and changes in their instructional practices have significant effects on student achievement. The relationship between teachers' professional knowledge and instructional quality in mathematics education has been studied, with a focus on the mediating role of teachers' professional beliefs and situation-specific knowledge and skills. These studies contribute to our understanding of the influence of professional development programs on teachers' problem-solving instruction in mathematics.