Using Writing Strategies in Math to Increase Metacognitive Skills for the Gifted Learner

2017 ◽  
Vol 40 (1) ◽  
pp. 43-47 ◽  
Author(s):  
Heather Knox
Keyword(s):  
Academic Success ◽  
Problem Solving ◽  
Mathematics Classroom ◽  
Metacognitive Skills ◽  
Problem Solving Skills ◽  
Gifted Learners ◽  
Solution Strategies ◽  
Multiple Strategies ◽  
Problem Solving Process ◽  
Metacognitive Ability

Metacognition is vital for a student’s academic success. Gifted learners are no exception. By enhancing metacognition, gifted learners can identify multiple strategies to use in a situation, evaluate those strategies, and determine the most effective given the scenario. Increased metacognitive ability can prove useful for gifted learners in the mathematics classroom by improving their problem-solving skills and conceptual understanding of mathematical content. Implemented effectively, writing is one way to increase a student’s metacognitive ability. Journal writing in the mathematics classroom can help students by clarifying their thought process while further developing content knowledge. Implementing writing can lead to increased understanding of the problem, identification of additional strategies that can be used to solve the problem, and reflective thinking during the problem-solving process. Reflective writing in mathematics can help students evaluate solution strategies and identify strengths and areas of improvement in their mathematical understanding.

scholarly journals Developing science students’ metacognitive problem solving skills online

2001 ◽  
Vol 17 (1) ◽  
Author(s):  
Rowan W. Hollingworth ◽  
Catherine McLoughlin
Keyword(s):  
Problem Solving ◽  
New England ◽  
Design Guidelines ◽  
First Year ◽  
Online Environment ◽  
Metacognitive Skills ◽  
Science Students ◽  
Problem Solving Skills ◽  
Structured Problems ◽  
Reflective Skills

<span>Technology is increasingly being harnessed to improve the quality of learning in science subjects at university level. This article sets out, by incorporating notions drawn from constructivist and adult learning theory, a foundation for the design of an online environment for the acquisition of metacognitive problem solving skills. The capacity to solve problems is one of the generic skills now being promoted at tertiary level, yet for many learners problem-solving remains a difficulty. In addition, there are few instances of instructional design guidelines for developing learning environments to support the metacognitive skills for effective problem solving. In order to foster the processes of metacognitive skills explicitly in first year science students, we investigated areas where cognitive support was needed. The aim was to strengthen the metacognitive and reflective skills of students to assist them in adopting strategies and reflective processes that enabled them to define, plan and self monitor their thinking during problem solving. In tertiary science, both well-structured and ill-structured problems are encountered by students, thus a repertoire of skills must be fostered. A model for supporting metacognitive skills for problem solving is presented in the context of an online environment being developed at the University of New England.</span>

scholarly journals A Detailed Characterization of the Expert Problem-Solving Process in Science and Engineering: Guidance for Teaching and Assessment

2021 ◽  
Vol 20 (3) ◽  
pp. ar43
Author(s):  
Argenta M. Price ◽  
Candice J. Kim ◽  
Eric W. Burkholder ◽  
Amy V. Fritz ◽  
Carl E. Wieman
Keyword(s):  
Problem Solving ◽  
Disciplinary Knowledge ◽  
Science And Engineering ◽  
Detailed Characterization ◽  
Problem Solving Skills ◽  
Problem Solving Process

A study of the problem-solving process used by skilled practitioners across science, engineering, and medicine revealed that their process can be characterized by a set of 29 specific decisions. They select and use frameworks of disciplinary knowledge to make those decisions. This work will enable better assessment and teaching of problem-solving skills.

Cognitive Functionality of Multimedia in Problem Solving

2008 ◽  
pp. 1233-1247
Author(s):  
Robert Zheng
Keyword(s):  
Information Retrieval ◽  
Problem Solving ◽  
Cognitive Load ◽  
Mental Representation ◽  
Cognitive Functions ◽  
Teaching And Learning ◽  
Interactive Multimedia ◽  
Problem Solving Skills ◽  
Teaching Problem ◽  
Problem Solving Process

Teaching problem solving can be a challenge to teachers. However, the challenge is oftentimes not due to a lack of skills on the part of learners but due to an inappropriate design of media through which the problem is presented. The findings of this study demonstrate that appropriately designed multimedia can improve learners’ problem solving skills because of the cognitive functions such media have in facilitating mental representation and information retrieval and maintenance, as well as reducing cognitive load during the problem solving process. Suggestions were made on how to apply interactive multimedia to teaching and learning.

Editorial: A Year Of Mathematics

1982 ◽  
Vol 75 (6) ◽  
pp. 434
Keyword(s):  
Problem Solving ◽  
Mathematics Classroom ◽  
Bulletin Board ◽  
Problem Solving Skills ◽  
June July

This issue contains a colorful twelve-month calendar that can be posted on your bulletin board and used as a source of ideas and activities in your mathematics classroom. Every month features an assortment of interesting facts, birthdays of mathematicians, and a variety of problems whose solutions may require some ingenuity along with the application of mathematics. Some of the problems may require such problem-solving skills as searching for patterns, making tables, creating related problems, and so on. Answers for these problems will be included in the corresponding month’s issue of the journal; the May issue will contain the solutions for May, June, July, and August.

How Does Your Mathematical Garden Grow?

2007 ◽  
Vol 13 (2) ◽  
pp. 68-76
Author(s):  
Shari A. Beck ◽  
Vanessa E. Huse ◽  
Brenda R. Reed
Keyword(s):  
Problem Solving ◽  
Mathematics Classroom ◽  
Real Life ◽  
Middle School Mathematics ◽  
Content Standards ◽  
Mathematical Communication ◽  
Mathematical Ideas ◽  
Application Problem ◽  
Multiple Process ◽  
Problem Solving Process

Imagine a middle school mathematics classroom where students are actively engaged in a real-life application problem incorporating multiple Process and Content Standards as outlined by NCTM (2000). Sounds of mathematical communication arise as students use multiple representations to help connect mathematical ideas throughout the problem-solving process. Students apply various types of reasoning and explore alternate methods of proof while working attentively on applications that incorporate Number and Operations, Algebra, Geometry, and Measurement.

scholarly journals Online and other ICT-based Training Tools for Problem-solving Skills

2016 ◽  
Vol 11 (06) ◽  
pp. 35
Author(s):  
Athanasios Drigas ◽  
Maria Karyotaki
Keyword(s):  
Problem Solving ◽  
Learning Environments ◽  
Cognitive Processes ◽  
Metacognitive Skills ◽  
Dynamic Learning ◽  
Self Monitoring ◽  
Problem Solving Skills ◽  
Social Dynamic ◽  
Key Factor ◽  
Real World Learning

Problem-solving requires creative skills, critical thinking as well the ability to implement ideas and theories in practical ways. Moreover, interactive and self-managed problem-solving experiences promote students’ motivation as expressed through the developmental progression of learners’ metacognitive skills, such as self-monitoring and self-reinforcement. Effective learning based on constructivist didactics, encompassing self-organized learning in combination with active and creative problem-solving in collaborative settings, advances students’ concomitant cognitive and meta-cognitive processes. Hence, students’ co-construction of knowledge embodied in social dynamic learning environments, such as school-based tasks leverage the semantic relationships rising from exercising, verifying and testing of knowledge through information sharing and discussion. Future studies should focus on designing interactive, adaptable, ill-defined, real-world learning environments to elicit students’ cognitive and meta-cognitive processes as a key factor for the effective training of problem-solving skills.

scholarly journals Students’ Problem-Solving Skill in Physics Teaching with Virtual Labs

2018 ◽  
Vol 2 ◽  
pp. 10 ◽  
Author(s):  
Gunawan Gunawan ◽  
Ni Made Yeni Suranti ◽  
Nina Nisrina ◽  
Lovy Herayanti
Keyword(s):  
Problem Solving ◽  
Solution Process ◽  
Control Group ◽  
Virtual Labs ◽  
Physics Teaching ◽  
Problem Solving Skills ◽  
Quasi Experimental ◽  
Problem Solving Process ◽  
High Level ◽  
Essay Test

Problem-solving is a high-level ability to find solution to a problem. In the problem-solving process, students have to identify and understand the problems, plan the solutions, execute the plans and review the resolution process. This ability is needed by students to produce meaningful knowledge. This article discusses the effect of virtual labs in physics learning toward student’s problem-solving abilities. The improvement of problem-solving skills was analyzed in each step of the solution process. This quasi-experimental study was conducted at three different senior high schools. There were 165 students participating in this study, all of whom were divided into three experimental groups and three control groups. The research instrument used was five to eight questions of essay test. The results showed that the problem-solving ability of the experimental group was higher than that of the control group at each school. The analysis of each problem-solving step showed that, in each school, the students' ability to identify and define the problem and also to establish goals and objectives show a similar result. Students have an excellent ability in identifying problem up to plan for problem-solving, whereas for the step of analyzing the choice of ideas and step to follow up of problem-solving overall still need to be improved. Students who are unable to complete a particular problem-solving step will not be able to complete the next step well.

scholarly journals Authentic Teaching Tasks for Academic Success, Attitude, Problem Solving, and Creative Thinking Skills

2021 ◽  
Vol 12 (2) ◽  
pp. 108-123
Author(s):  
Emine Kübra Pullu ◽  
Mehmet Nuri Gömleksiz
Keyword(s):  
Academic Success ◽  
Problem Solving ◽  
Creative Thinking ◽  
Teaching Method ◽  
Web Design ◽  
Thinking Skills ◽  
Attitude Scale ◽  
Control Group ◽  
Problem Solving Skills ◽  
Experimental Group

Abstract This research was prepared in order to determine the change in students’ academic achievement, retention levels and attitudes, and problem solving skill and creative thinking skill as a result of programming teaching with authentic task-based applications. The research was prepared using an experimental design with pretest-posttest control group. In the study group of the research, 2nd year Computer Technologies Department students who studied at Erciyes University in the 2017–2018 academic year and took the Web Design Fundamentals course and the Research Methods and Techniques course are included. One of the second-year branches was determined as experimental group (n = 30) and the other one was determined as the control group (n = 33). The teaching of programming to the experimental group students was carried out with authentic tasks. Lessons were conducted with the control group students using the traditional teaching method. Achievement test developed by the researchers as pre-test, post-test, retention test, as well as Attitude Scale Toward Computer Programming developed by Baser (2013), Problem Solving Inventory developed by Heppner and Peterson (1982) and adapted to Turkish by Sahin, Sahin and Heppner (1993), “How Creative Are You?” scale developed by Raudsepp (1977) and adapted to Turkish by Coban (1999) were used. With research, it was concluded that authentic task-oriented practices increased students’ programming academic success and attitudes towards programming, and also positively affected both students’ problem-solving skills and creative thinking skills.

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