Algebraic Problem Solving in the Primary Grades

2003 ◽  
Vol 9 (8) ◽  
pp. 444-449
Author(s):  
Robert B. Femiano
Keyword(s):  
Problem Solving ◽  
First Graders ◽  
Primary Grade ◽  
Algebraic Reasoning ◽  
Abstract Form ◽  
Teaching Experiences ◽  
Algebraic Problem ◽  
Formal Level ◽  
Level Of Thinking ◽  
Logic Puzzle

You may be surprised to learn that most first graders can solve for x in such problems as 2x + 1 = 21. I know so because they do it in my classroom daily, just not in the abstract form of x's and y's. Even though primary-grade students may lack the formal level of thinking required to “efficiently” solve equations, algebraic reasoning is still possible when approached in less sterile and more practical ways. This article shares teaching experiences that show just that outcome: when an equation is redesigned into a problemsolving story or a logic puzzle or is in some other way wrapped in meaning, even six-yearolds know enough mathematics to solve it.

scholarly journals Level of Creative Thinking Effect Through Multiple Solution Task Type Problem-Solving on Learning Outcomes

2020 ◽  
Vol 5 (1) ◽  
pp. 177
Author(s):  
Muhammad Kris Yuan Hidayatulloh ◽  
Supari Muslim ◽  
Erina Rahmadyanti ◽  
Euis Ismayati ◽  
Nita Kusumawati
Keyword(s):  
Problem Solving ◽  
Learning Outcomes ◽  
Significant Influence ◽  
Creative Thinking ◽  
Affective Learning ◽  
Multiple Solution ◽  
Task Type ◽  
Analysis Technique ◽  
Approach Method ◽  
Level Of Thinking

This study aims to: (1) analyze the level of creative thinking possessed by each class XI students of Building Drawing Technique (BDT); and (2) analyze the influence of the level of thinking on the learning outcomes of the cognitive, affective, and psychomotor domains. This type of research is correlational research through a quantitative approach method. The population in this study were all students in building expertise competencies at SMK Negeri 1 Nganjuk which included Geomatics and BDT. The sample used in this study was XI BDT class students. The instrument used in analyzing the level of creative thinking (LCT) is a problem-solving test sheet of the type of multiple solution tasks. The data analysis technique uses a linear regression test. The results of the study concluded that: (1) there were as many as 4 students included in the category of LCT 4 (very creative), there were 12 students included in the category of LCT 3 (creative), there are 11 students included in the category 2 LCT (quite creative), there are no students included in the category of LCT 1 (less creative), and there are as many as 11 students who included in the category of LCT 0 (not creative); (2) there is a significant influence between the level of creative thinking on the cognitive and psychomotor learning outcomes; and (3) there is a very significant influence between the level of creative thinking on the affective learning outcomes of class XI BDT students.

scholarly journals Kepraktisan Bahan Ajar Statistika Pendidikan Fisika Bermuatan Model Cooperative Problem Solving

2019 ◽  
Vol 3 (1) ◽  
pp. 26
Author(s):  
Renol Afrizon ◽  
Wahyuni Satria Dewi
Keyword(s):  
Problem Solving ◽  
Physics Education ◽  
Ease Of Use ◽  
Student Response ◽  
Teaching Materials ◽  
Cooperative Problem Solving ◽  
Problem Solving Model ◽  
Education Statistics ◽  
Addie Model ◽  
Level Of Thinking

The statistics of physics education are compulsory course with a lot of material descriptions so the lectures must be assisted by the use of teaching materials. The lectures of statistics of physics education that took place in the July-December 2017 semester illustrates that: 1) teaching materials are less attractive to students, 2) the assignments given are quite clear and sufficient in accordance with the level of thinking of students, 3) materials delivered by the lecturer is in accordance with the targets in the syllabus with some material is still abstract, 4) the lecture have been pursued in accordance with the syllabus but the methods used have not varied and 5) students learn material of statistic of physics education only from the lecturer explanation so that only a few students can answer statistical problems quickly and correctly. This indicates that it is need provided teaching materials with a cooperative problem solving model. The author has tried to design teaching materials of statistic of physics education with cooperative problem solving models with very valid criteria according to the assessment of six experts with educational qualifications of statistics and physics education. However, this teaching material has not been tested at normal conditions in the lectures so that the level of practicality has not been revealed. The aim of this study was to determine the practicality level of educational statistical teaching materials containing cooperative problem solving models according to users, namely lecturers and students who listed in the course. Type of research is research and devel-opment with the ADDIE model. The ADDIE model stands for Analyze, Design, Develop, Implement and Evaluation. This research is part of the Implementation stage where development products are implemented in real terms so that the level of practicality can be measured with indicators of ease of use, attractiveness and efficiency. Data collection used student response questionnaires and lecturer response questionnaires with a Likert scale. Data analysis used descriptive statistic analysis techniques. The results showed that teaching materials of physics education statistics had very practical criteria (lecturers opinion) and practical (students opinion). The conclusion of this study is the teaching materials of statistic of physics education with cooperative problem solving model has been practically used in lectures

Problem-Solving Strategies of First Graders

2004 ◽  
Vol 10 (9) ◽  
pp. 474-479
Author(s):  
Emam Hoosain ◽  
Renee H. Chance
Keyword(s):  
Problem Solving ◽  
First Graders ◽  
Problem Solving Strategies

The process that teachers used to increase communication during problem-solving investigations. It demonstrates examples of students’ struggles and successes.

Rule-based expert systems to support step-by-step guidance in algebraic problem solving: The case of the tutor PAT2Math

2013 ◽  
Vol 40 (14) ◽  
pp. 5456-5465 ◽  
Author(s):  
Patricia A. Jaques ◽  
Henrique Seffrin ◽  
Geiseane Rubi ◽  
Felipe de Morais ◽  
Cássio Ghilardi ◽  
...  
Keyword(s):  
Problem Solving ◽  
Expert Systems ◽  
Rule Based ◽  
Algebraic Problem

scholarly journals The Design-Debrief: Using Storytelling to Connect Preservice Teacher Reflection With Design-Thinking

2018 ◽  
Vol 11 (2) ◽  
pp. 61-75
Author(s):  
Stephanie Baer
Keyword(s):  
Teaching And Learning ◽  
Design Thinking ◽  
First Graders ◽  
Teacher Educator ◽  
Teaching Experience ◽  
Teacher Reflection ◽  
Classroom Activity ◽  
Regular Reflection ◽  
Teaching Experiences ◽  
Thinking Process

As a teacher educator, I prepare preservice students for regular reflection about teaching and learning by incorporating design-thinking and storytelling. In order to facilitate more interactive reflection on students’ early teaching experiences, I developed the design-debrief—a classroom activity that asked students to story their teaching experience with first-graders using the design-thinking process. I make connections to how design-thinking and storytelling enabled a more complex and systematic way to approach teacher reflection.

scholarly journals Difficulties that Students Face when Learning Algebraic Problem-Solving

2020 ◽  
Vol 8 (11) ◽  
pp. 5405-5413
Author(s):  
Chan Li Ying ◽  
Sharifah Osman ◽  
Dian Kurniati ◽  
Edi Sunjayanto Masykuri ◽  
Jeya Amantha Kumar ◽  
...  
Keyword(s):  
Problem Solving ◽  
Algebraic Problem

scholarly journals Analisis Proses Pemecahan Masalah Geometri Berdasarkan Teori Van Hiele di Sekolah Menengah Atas

2018 ◽  
Author(s):  
Marlinda Indah Eka Budiarti
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Qualitative Approach ◽  
School Students ◽  
Van Hiele ◽  
Visualization Analysis ◽  
Van Hiele Theory ◽  
Level Of Thinking ◽  
Language Question

This study aims to explore and describe the process of problem solving geometry reach the level of visualization, analysis and informal deduction based on the Van Hiele theory. This type of research is descriptive explorative and qualitative approach. Subject of the study was obtained from the high school students who were tested on the level of Van Hiele geometry. Each level of visualization, analysis and informal deduction taken two learners who can communicate well. The results of this study indicate that solving problems in geometry learners who attained think visualization is to identify problems and set goals using the language question. Troubleshooting on the geometry of learners who attained think theanalysis is through fifth troubleshooting step IDEAL using their own language, but less systematic. Troubleshooting on the geometry of students who reach a level of thinking is through the informal deduction fifth troubleshooting step IDEAL by systematically using their own language.

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