Using KenKen to Build Reasoning Skills

2013 ◽  
Vol 107 (5) ◽  
pp. 341-347 ◽  
Author(s):  
Harold B. Reiter ◽  
John Thornton ◽  
G. Patrick Vennebush
Keyword(s):  
Problem Solving ◽  
Problem Solving Strategies ◽  
Reasoning Skills

Through KenKen puzzles, students can explore parity, counting, subsets, and various problem-solving strategies.

scholarly journals Kemampuan siswa menyelesaikan masalah berbentuk soal cerita sistem persamaan linear ditinjau dari kemampuan penalaran

2020 ◽  
Vol 15 (2) ◽  
Author(s):  
Dimas Aditya Yudha Pradana ◽  
Budi Murtiyasa
Keyword(s):  
Problem Solving ◽  
Linear Equation ◽  
Junior High School ◽  
Mathematical Reasoning ◽  
Sampling Technique ◽  
Equation System ◽  
Data Presentation ◽  
Linear Equation System ◽  
Problem Solving Strategies ◽  
Reasoning Skills

Tujuan penelitian ini adalah mendeskripsikan kemampuan pemecahan masalah dalam menyelesaikan soal cerita sistem persamaan linear dua variabel ditinjau dari kemampuan penalaran matematis. Penelitian ini merupakan penelitian kualitatif dengan metode deskriptif. Subjek dalam penelitian adalah siswa kelas VIII C SMP Muhammadiyah 10 Surakarta tahun 2019/2020. Teknik pengumpulan data berupa hasil tes, wawancara dan dokumentasi. Teknik analisis data menggunakan reduksi data, penyajian data dan penarikan kesimpulan. Teknik pengambilan subjek berdasarkan tingkat kemampuan penalaran matematis siswa sehingga diperoleh 3 subjek kelas VIII C dengan kategori penalaran matematis rendah, sedang dan tinggi. Hasil penelitian menunjukkan bahwa (1) Siswa penalaran matematis rendah belum menentukan syarat cukup dan syarat perlu dalam memahami masalah, belum dapat menentukan strategi menyelesaikan masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban. Siswa penalaran matematis sedang mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, dapat menentukan strategi menyelesaikan masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban. Siswa penalaran matematis tinggi mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, mampu menentukan strategi menyelesaikan masalah, dapat melaksanakan rencana dan dapat memeriksa perhitungan jawaban. (2) Penyebab kesalahan siswa yaitu siswa tidak menuliskan semua informasi, tidak melakukan permisalan dan penulisan yang tidak sistematis. The students' ability to solve world problems of linear equation system in term of reasoning skillsAbstractThis study aimed to describe the students’ ability to solve word problems of the two-variable linear equation system in terms of mathematical reasoning skills. This study was qualitative research with descriptive methods. The subjects consisted of three students selected using purposive sampling technique from twenty grade-eight students of SMP Muhammadiyah 10 (Junior High School) Surakarta, Indonesia. The subjects' selection was based on the level of mathematical reasoning skills, namely low, medium, and high. We were collecting data using a test, interviews, and documentation. The stages of data analysis include data reduction, data presentation, and concluding. The results showed that (1) student with low mathematical reasoning was not able to understand problems, determine problem-solving strategies, implement plans, and locking-back the solution; (2) student with moderate mathematical reasoning was able to understand problems and determine problem-solving strategies, but has not been able to carry out plans and locking-back the solution; (3) student with high mathematical reasoning was able to understand problems, determine problem-solving strategies, carry out plans, and locking-back the solution; (4) the causes of student errors, namely students did not write down all important information in the problems, doing mathematical modeling, write unsystematic solutions, and did not conclude solutions correctly.

IDENTIFICATION OF PROBLEM SOLVING STRATEGIES IN MATHEATICS AMONG HIGH SCHOOL STUDENTS

2017 ◽  
Vol 4 (36) ◽  
Author(s):  
J. Navaneetha Krishnan ◽  
P. Paul Devanesan
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Sample Survey ◽  
Survey Method ◽  
Teaching Mathematics ◽  
School Students ◽  
Problem Solving Strategies ◽  
Achievement In Mathematics

The major aim of teaching Mathematics is to develop problem solving skill among the students. This article aims to find out the problem solving strategies and to test the students’ ability in using these strategies to solve problems. Using sample survey method, four hundred students were taken for this investigation. Students’ achievement in solving problems was tested for their Identification and Application of Problem Solving Strategies as a major finding, thirty one percent of the students’ achievement in mathematics is contributed by Identification and Application of Problem Solving Strategies.

scholarly journals Using process data to understand problem-solving strategies and processes for drag-and-drop items in a large-scale mathematics assessment

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Yang Jiang ◽  
Tao Gong ◽  
Luis E. Saldivia ◽  
Gabrielle Cayton-Hodges ◽  
Christopher Agard
Keyword(s):  
Problem Solving ◽  
Time Allocation ◽  
Large Scale ◽  
Solution Process ◽  
Process Data ◽  
Mathematics Assessments ◽  
Assessment Design ◽  
Eighth Grade Students ◽  
Problem Solving Strategies ◽  
Drag And Drop

AbstractIn 2017, the mathematics assessments that are part of the National Assessment of Educational Progress (NAEP) program underwent a transformation shifting the administration from paper-and-pencil formats to digitally-based assessments (DBA). This shift introduced new interactive item types that bring rich process data and tremendous opportunities to study the cognitive and behavioral processes that underlie test-takers’ performances in ways that are not otherwise possible with the response data alone. In this exploratory study, we investigated the problem-solving processes and strategies applied by the nation’s fourth and eighth graders by analyzing the process data collected during their interactions with two technology-enhanced drag-and-drop items (one item for each grade) included in the first digital operational administration of the NAEP’s mathematics assessments. Results from this research revealed how test-takers who achieved different levels of accuracy on the items engaged in various cognitive and metacognitive processes (e.g., in terms of their time allocation, answer change behaviors, and problem-solving strategies), providing insights into the common mathematical misconceptions that fourth- and eighth-grade students held and the steps where they may have struggled during their solution process. Implications of the findings for educational assessment design and limitations of this research are also discussed.

scholarly journals Teachers’ Use of Technology Affordances to Contextualize and Dynamically Enrich and Extend Mathematical Problem-Solving Strategies

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 793
Author(s):  
Manuel Santos-Trigo ◽  
Fernando Barrera-Mora ◽  
Matías Camacho-Machín
Keyword(s):  
Problem Solving ◽  
High School Teachers ◽  
Digital Technology ◽  
Dynamic Models ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Use Of Technology ◽  
Technology Affordances ◽  
Problem Solving Strategies

This study aims to document the extent to which the use of digital technology enhances and extends high school teachers’ problem-solving strategies when framing their teaching scenarios. The participants systematically relied on online developments such as Wikipedia to contextualize problem statements or to review involved concepts. Likewise, they activated GeoGebra’s affordances to construct and explore dynamic models of tasks. The Apollonius problem is used to illustrate and discuss how the participants contextualized the task and relied on technology affordances to construct and explore problems’ dynamic models. As a result, they exhibited and extended the domain of several problem-solving strategies including the use of simpler cases, dragging orderly objects, measuring objects attributes, and finding loci of some objects that shaped their approached to reasoning and solve problems.

scholarly journals Thinking Process of Naive Problem Solvers to Solve Mathematical Problems

2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing
Keyword(s):  
Problem Solving ◽  
Procedural Knowledge ◽  
Mental Image ◽  
Research Subjects ◽  
Maximum Score ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Thinking Process ◽  
Problem Solvers ◽  
Holistic Rubric

Solving problem is not only a goal of mathematical learning. Students acquire ways of thinking, habits of persistence and curiosity, and confidence in unfamiliar situations by learning to solve problems. In fact, there were students who had difficulty in solving problems. The students were naive problem solvers. This research aimed to describe the thinking process of naive problem solvers based on heuristic of Polya. The researcher gave two problems to students at grade XI from one of high schools in Palangka Raya, Indonesia. The research subjects were two students with problem solving scores of 0 or 1 for both problems (naive problem solvers). The score was determined by using a holistic rubric with maximum score of 4. Each subject was interviewed by the researcher separately based on the subject’s solution. The results showed that the naive problem solvers read the problems for several times in order to understand them. The naive problem solvers could determine the known and the unknown if they were written in the problems. However, they faced difficulties when the information in the problems should be processed in their mindsto construct a mental image. The naive problem solvers were also failed to make an appropriate plan because they did not have a problem solving schema. The schema was constructed by the understanding of the problems, conceptual and procedural knowledge of the relevant concepts, knowledge of problem solving strategies, and previous experiences in solving isomorphic problems.

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