Mathematical Thinking - Science topic

The research was based on the use of teaching materials for the development of mathematical thinking in the students of the General Educational Unit ´´Eloy Alfaro´´ of the Chone Canton. The results of the research carried out through a survey are shown as a way to project educationally the use of teaching materials for the development of mathematic...

ภูมิหลังและวัตถุประสงค์: การสร้างประชากรวัยเรียนให้มีสมรรถนะการคิดขั้นสูง เป็นสิ่งที่จำเป็นอย่างยิ่งต่อการพัฒนาประเทศ โดยเฉพาะอย่างยิ่งในระดับการศึกษาขั้นพื้นฐาน ซึ่งเป็นรากฐานของการพัฒนาทรัพยากรมนุษย์ ดังนั้นการวิจัยนี้จึงมีวัตถุประสงค์เพื่อพัฒนาสมรรถนะการคิดขั้นสูงของนักเรียนในชั้นเรียนคณิตศาสตร์ที่เน้นการแก้ปัญหาด้วยวิธีการแบบเปิด ระเบียบวิธีการ...

Graphical calculators have grown to become more prevalent in mathematics education, allowing learners to visually represent functions and equations in a manner that traditional pen-and-paper approaches cannot. As a result, the utilization of this dynamic visual representation helps enhance learners' comprehension of complex mathematical concepts an...

This study focuses on developing a web-based digital learning space (DLS) designed to support a STEM learning model that fosters students' mathematical creativity. The DLS builds upon traditional learning management systems by introducing customizable elements tailored to individual teaching and learning environments (PTEs and PLEs). These features...

Mathematical logical thinking is fundamental in the cognitive and academic development of students, facilitating problem solving and critical reasoning. This article focused on the analysis of problem-based learning to enhance mathematical performance in eighth-year students. basic of the Educational Unit “San Cayetano” of Chone, a problem that cur...

New Media Pedagogy - NMP24: research trends, methodological challenges and successful implementations Date: 28-29 November 2024 Venue: Online event (Zoom link) The conference is about new media pedagogy, with a particular focus on innovative approaches, methodological challenges and practical implementations in the fields of digital competence, art...

One of the goals of teaching mathematics is to develop mathematical thinking among students and to be able to identify, where mathematics is applicable in the real world. To inculcate mathematical thinking among students, it is necessary to involve mathematical thinking activities as a prominent part of their education. And if teachers are to encou...

This study was motivated by observations at SMP Negeri 4 Bukittinggi. As a result of the observation, there were many students in class VIII whose mathematical thinking skills were still low Introverts make decisions carefully, while extroverts make decisions quickly and without much thought, so different people have different ways of thinking. Thi...

Considering the New Educational Model for Preschool Education in Mexico, a proposal is developed to favor the early stimulation of learning with the use of simple machines: balance, ramp and pulley as a means to develop preconceptions of mathematical thinking in children, incorporating play with the objective of favoring the participation of studen...

: The advance of society and technological development have led governments to transform their public policies in various areas, with a particular focus on the education system. In this context, many countries have focused their efforts on raising educational quality standards, especially in the development of digital competencies. This has generat...

This study aims to determine whether the REACT strategy effectively enhances students’ mathematical reasoning based on their interest in learning, specifically for students in class X at SMA Negeri 1 Asparaga. The study employed a quasi-experimental with a 2 × 2 treatment-by-level design, analyzed using two-way ANOVA and Tukey’s test. The findings...

We present the results of a study investigating the potential role of the generative AI GPT–4 in scaffolding students’ metacognitive activities during problem-solving. The theoretical framework according to which students’ interactions with GPT–4 are analysed is based on three main components: the notion of utilisation scheme within the frame of in...

We conducted a study on how Shanghai secondary mathematics teachers interact with textbooks. A conceptual framework was established for the study. Data were collected from 133 teachers in 13 randomly selected schools through a questionnaire survey and follow-up interviews with 24 of them. Results show that Shanghai mathematics teachers interacted w...

As one of the two major units of measuring angles in trigonometric functions, the radian system has irreplaceable advantages and functions, and is widely used in mathematics and other scientific fields. This paper summarizes the history of the radian system for more than 300 years, and through the changes of the radian system in Chinese textbooks f...

Problems encountered in Science, Technology, Engineering and Mathematics (STEM) contexts cannot be adequately described or solved with the knowledge of a single discipline. Instead, a high level of inter-and transdisciplinary knowledge and methods is required to overcome them. These help to pose problems about the complex challenges and solve them...

[English]: Prior knowledge is crucial in connecting all available information so that new knowledge can be constructed through the processes of assimilation or accommodation. The objectives of this study are: (1) to identify the prior knowledge forgotten by students that causes difficulties in solving problems related to the area of Euclidean plane...

Introducción: La formación de profesores ha tomado una especial relevancia, dada la constante necesidad de conectar los aprendizajes con los contextos de las nuevas generaciones, más aún con el auge de los avances tecnológicos, donde la matemática juega un rol fundamental. Ante esta situación, se plantea un interrogante: ¿Cuáles son los conocimient...

The background of this study is the students' low critical Mathematical thinking skills at SMP Negeri 3 Selimbau. This pocketbook media can be combined with Realistic Mathematics Education, which is based on Dayak Mayan culture, as a learning resource. This research aims to determine the validity, practicality, effectiveness, and students' response...

Integrated STEM learning is an appropriate approach to improve students' abilities and skills needed in the 21st century. Therefore, this literature study aims to discuss the effectiveness of integrated STEM implementation in science learning. The focus of this research includes integrated STEM implementation, effectiveness, and analysis of abiliti...

The research focused on analyzing how a program of playful activities influences the development of mathematical thinking in early childhood children who attend the preparatory education level, a process of transition between mathematical notions and the basic contents of this area of knowledge. The study used a quantitative methodology and quasi-e...

Cómo citar este artículo? Solorzano-Movilla; J. y De León; W. (2024). Caracterización del pensamiento matemático avanzado mediante el estudio del principio del palomar. Pensamiento Americano, e#:794 17(35), DOI: https://doi.org/10.21803/ penamer.17.35.794 Resumen Introducción: La formación de profesores ha tomado una especial relevancia, dada la co...

Abstract Air defense is carried out in a complex system using Missiles and cannons with dense (rapid) fire is an extension of air defense as an initiative to adapt air defense to the task of intercepting every aircraft, cruising missile, UAV and flying projectiles. A case study of a Russian troop convoy that is very vulnerable to air attacks and G...

This research aimed to analyze undergraduate students’ mathematical creative thinking abilities (MCTA). This study employs a qualitative descriptive method, with the research subjects being Mathematics Education Study Program students. Tests and interviews were the instruments used for mathematical creative thinking ability. The results of the rese...

Pada pemecahkan masalah, mahasiswa melakukan proses berpikir sehingga mahasiswa bisa menemukan jawaban. Proses berpikir matematis dalam belajar matematika sangat penting. Salah satu yang mempengaruhi proses berpikir mahasiswa adalah gaya kognitif. Kemampuan untuk berpikir terkait erat dengan cara seseorang memproses dan mengatur informasi dalam akt...

Vietnam is in the process of comprehensively reforming education. In 2018, the Vietnamese Ministry of Education and Training issued the General Education Program. In addition to general competencies, the 2018 General Education Program also aims to develop specific competencies for students, including mathematical competency. Mathematical competency...

Generalization plays an important role in mathematics because it is considered inherent in mathematical thinking in general. Where number pattern is a topic that is closely related to generalization. Problems are still found in generalizing number patterns so this can cause learning obstacles. This research aims to identify learning obstacles for J...

This research aims to improve students' literacy and numeracy skills in Namanjahe Village through the utilization of print and social media. The approach used is participatory action research, where researchers are directly involved in activities to address the educational challenges faced by students. Based on interviews and observations, several...

Mathematics is practicing explicitly and implicitly as a part of everyday activity of different group of people. The intent of this paper is to analyze the mathematical ideas practiced in the out-of-school environment and its possible connection to the teaching and learning of school mathematics. The mathematical thinking and ideas used by the diff...

The professional culture of a mathematics teacher is substantiated as an integrated dynamic property of a personality that projects his/her general culture in the field of the profession, and is a synthesis of mathematical, scientific, methodological and pedagogical cultures of the teacher, realized in a synergistic educational space using digital...

The international curriculum in the early childhood and foundation phase encourages play-based pedagogy in teaching and learning mathematics. Furthermore, the South African curriculum stresses integrating African culture and using technologies in the foundation phase. This study explored the use of Africanised play-based pedagogy in the online...

Despite their proficiency in math tasks, the mechanisms underlying LLMs' mathematical reasoning abilities remain a subject of debate. Recent studies suggest that chain-of-thought (CoT) prompts can bolster mathematical reasoning by encouraging LLMs to employ human-like logical reasoning (System 2), enabling them to excel on the Cognitive Reflection...

The paper is focused on the use of planar tessellations in mathematics education as a tool for developing students' mathematical thinking (especially the ability to understand the regular arrangement and colors of polygonal shapes and predict how a given pattern can develop or transform) with regard to the support of the expressiveness of students...

It is a common place in philosophy to say that thought is a conversation with oneself. For instance, in his Essay on Man, Cassirer claims: "instead of dealing with the things themselves man is in a sense constantly conversing with himself". This is clearly a metaphor. It would be interesting to assess whether there are evidences supporting the idea...

• We present notes - we have compiled over time - that provides steps, clues and resources for anyone who is interested in studying Rudin's Real and Complex Analysis. • We hope to keep adding more material - and more importantly improving the existing material - to this compilation over time: as we cover more chapters, as we uncover more results,...

[Objetivo] El objetivo es explorar cómo las personas docentes en activo miran profesionalmente los materiales curriculares y el pensamiento matemático del estudiantado en el área de medida. [Metodología] Las personas participantes fueron 18 docentes en estado activo de educación primaria. Resolvieron un cuestionario formado por 12 ítems con tres fo...

p>The article continues the cycle ([1] – [12]) of methodological developments of the authors. It discusses some problems related to ways to improve the culture of mathematical thinking of mathematics students. The authors rely on the experience of working at the Faculty of Information Technology of MSUPE.</p

span lang="EN-US">The objectives of this research were to study the efficacy of the mathematics instructional model (BRIGHT model) based on realistic mathematics education (RME) and model-eliciting activities (MEAs) approaches to enhance mathematical thinking (MT) for upper primary school students as follows: i) to compare the mathematics achieveme...

RESUMO: Este artigo tem como objetivo demonstrar que a abordagem didática Sala de Sala Invertida (SAI ou Flipped Classroom) é um instrumento capaz e extremamente potente para ensinar Matemática e desenvolver o Pensamento Matemático Crítico. Para tanto empregou-se a revisão bibliográfica e documental mediante uma ampla revisão de literatura com auto...

How to influence and assess whether students engage in conceptual thinking are longstanding methodological problems in mathematics education. Recently, eye-tracking technology has fueled a discussion on whether eye movement analysis can support valid inferences about mathematical thinking. This study investigates whether eye movement analysis can d...

The objective of this research study is to analyze the mental structures of a cognitive model of isomorphism of vector spaces, called Genetic Decomposition, based on the elements of the APOS (Action, Process, Object, and Scheme) theory. This is validated as evidence of postulation reasoning, which is part of the characterization of advanced mathema...

This study aims to synthesize current research on early childhood mathematical thinking and learning, focusing on cognitive development, instructional strategies, and environmental influences. The study provides a comprehensive qualitative analysis, integrating diverse theoretical frameworks and recent empirical findings for a nuanced understanding...

In education, computational thinking-which is characterized as a style of thinking applicable to various professions needing problem-solving abilities-has grown in popularity. Future specialists must be prepared for the sophisticated thinking skills required to solve social and business challenges, necessitating a combination of mathematical thinki...

The state of the art for research focused on the formation of mathematical thinking and analytical skills in learners revolves around several key developments and approaches in modern education, cognitive science, and instructional technology. It should also be noted that this topic is not sufficiently studied by other researchers, educators, and m...

This study aims to prepare an educational program based on integrating Science, Technology, Engineering and Mathematics (STEM) to develop students' mathematical thinking skills. It also aims to provide proposals that could have a major role in rebuilding some of the general features on which mathematics curricula can be built according to the STEM...

This study examines the relationship between instructional quality and mathematics achievement, taking into account socioeconomic status. Data from ten European countries participating in PISA 2012 and 2022 were analysed using the framework of the Dynamic Modelling of Educational Effectiveness. In PISA 2012, instructional quality was defined by stu...

This research was conducted in 2019 in collaboration with Japanese colleagues, with the research tasks translated from the original Japanese. In Finland, a total of 1112 students from grades 7–9 in primary school participated in the study. In our article, we examine Finnish students’ mastery of the concept of percentages and how they express their...

In the mid-twentieth century, the identity of those who oversaw the UK electricity grid tentatively and slowly began to shift from those who joined the electricity industry directly from secondary school to a university-educated elite with a higher level of technical education. At the same time, electricity infrastructure became increasingly centra...

Parent and family engagement in Common Core State Standards (CCSS) emphasizes meaningful involvement and consultation of parents in supporting their children with necessary mathematics and literacy skills at home. As the mathematical methods taught in schools following the CCSS differ from what parents are used to, parents need support learning new...

The academic community acknowledges the role of game-based learning and hence has devoted considerable effort in the development of relevant games. We note here that none of the respective games is intended for primary education purposes. Furthermore, none of these games utilizes 3D digital technologies. Therefore, new approaches are needed in orde...

This research aims to determine the quality of creative mathematical thinking abilities in terms of AQ in CPS learning with an open-ended approach assisted by G. Classroom. The type of research is quantitative research. The research population was all class VII. The research sample used a cluster random sampling technique. The conclusions of the re...

It is a fact, that the varying definitions and perspectives on thinking among scientists, emphasizing the influence of theoretical foundations and practical experiences on individual mental processes, would equally highligh the importance of mathematics in developing thinking skills by fostering connections between ideas, organizing information, an...

In the 21st century, learning mathematics requires students to master 4 skills, one of which is creative mathematical thinking. This ability will encourage students to have different points of view in solving a problem. The low ability to think creatively in mathematics is shown by the large number of students who are unable to express creative ide...

In this research study, a bibliometric review of Computational Thinking (CT) and Mathematical Thinking (MT) was run to explore the co-evolution of these two concepts and how the concepts are used in education. The results suggest that throughout time, the concepts are used in secondary education more frequently and associated to critical thinking s...

The purpose of this research is to obtain a description of the mathematical communication skills in terms of the learning styles of Grade XI TKR 3 students at SMK Negeri 1 Tanara for the 2023-2024 academic year. This research is qualitative in nature. Six subjects were selected, representing each learning style, from Grade XI TKR 3 students at SMK...

While proof has been studied from different perspectives in the mathematics education literature for decades, students continue to struggle to build proof comprehension. Complicating this, the manner in which proof comprehension is assessed largely remains to be the definition-theorem-proof format in which students are asked to reproduce proofs or...

Learning is here considered to have taken place when someone has developed the habit, propensity, and disposition to attend productively to things not previously noticed, and in ways not previously experienced, to do with some specific and particular content. ‘Active learning’ sounds like a tautology, but was introduced as a contrast to the more pa...

This study aims to evaluate the critical and creative thinking abilities in the context of mathematics when solving problems related to arithmetic sequences and series among introverted students in the 11th grade at Xaverius 1 High School in Jambi City. This issue arises due to differences in thinking skills and cognitive processes among students b...

Augmented reality (AR) and virtual reality (VR) have been noted to enhance student learning by supporting spatial reasoning and visualization, long-term memory, engagement, and increased motivation. The researchers situated the exploration of these tools for learning within the culturally responsive pedagogy (CRP) in mathematics education. The rese...

Test content-based proof of validity is a type of evidence that supports the validity of a measuring instrument. This research aims to develop a mathematical problem-solving assessment instrument utilizing five experts. This study is classified as developmental research and follows a research design that includes two separate stages: the preliminar...

يهدف البحث معرفة اثر التدريس باستراتيجية Kagan في تنمية مهارات التفكير الرياضي لطلاب الصف الخامس العلمي في مادة الفيزياء ولتحقيق هدف البحث قام الباحث ببناء اداة اختبار التفكير الرياضي المكون من (28) فقرة موضوعية من نوع الاختيار من متعدد, ولقد تم حساب الصدق والثبات والخصائص السايكومترية للاختبار ,تمثل مجتمع البحث الحالي بطلاب الخامس العلمي في اعدادي...

p>The linear equation is a fundamental mathematics topic that often poses significant challenges for students. These difficulties are primarily due to traditional teaching methods that emphasize memorization of formulas over deep understanding, coupled with insufficient focus on developing reasoning and problem-solving skills. This study seeks to d...

Spatial skills can predict mathematics performance, with many researchers investigating how and why these skills are related. However, a literature review on spatial ability revealed a multiplicity of spatial taxonomies and analytical frameworks that lack convergence, presenting a confusing terrain for researchers to navigate. We expose two central...

This study aims to improve students' creative mathematical thinking skills through solving open-ended problems. The method used in this study is Classroom Action Research (CAR), which consists of several stages: planning, implementation, observation, and reflection. The research subjects were 36 students. The results obtained from this study are th...

Standards and practices for preparing teachers of mathematics emphasize that preservice teachers (PSTs) must possess robust knowledge of mathematical concepts of what they teach to support student learning. Additionally, two standards of mathematical practices, use and connect mathematical representations and mathematical modeling (MM), play a pivo...

This reseacrh is a type of development reseacrh. The aims of this research is to develop an instrument for mathematical computational thinking tests based on Computer Based Testing (CBT) using the Quizizz application, evaluate the validity of the developed test instrument, and analyze the mathematical computational thinking abilities of students. T...

The ultimate reason for the ubiquity of mathematics in modern science entails the essence of mathematical thinking and processes so that complex phenomena including those emerging in medical and biological systems can be understood, and thus, scientific models at their crux can be generated. The consequent complexities and uncertainties require the...

PISA merupakan program penilaian tiga tahunan yang mengukur literasi membaca, sains dan matematika negara di dunia. Penilaian PISA tidak hanya berfokus pada literasi saja tapi terdapat fokus penilaian yaitu kemampuan berpikir kritis matematis khususnya pada domain matematika, sebagai bentuk kemampuan yang penting dikuasai anak pada abad 21. Kemampu...

The aim of this research is to analyze the increase in critical thinking skills after being taught using the sequence and series e-module developed using the ADDIE (Analysis, Design, Develop, Implement, Evaluate) model. The subjects involved in the e-module trial were 30 students in class X and 30 students in the experimental class with a populatio...

In the United States, teachers are often expected to use student assessment data to inform their instructional decisions. This study explores how teachers’ collective reflections on students’ mathematical thinking are influenced by the specific contexts of their classroom, school, and current events like the COVID-19 pandemic. The study uses audio...

En este artículo exploramos cómo se refleja en la ficción, especialmente en los dibujos animados, el aspecto de una clase de Matemáticas. Analizamos escenas de la película "Leo" y otras producciones que muestran una disposición tradicional del aula, reflexionando sobre su impacto en la actividad matemática. Destacamos la importancia de la disposici...

This research uses Rasch model analysis to identify the reliability and separation index of an integrated mathematics test instrument with a cultural architecture structure in measuring students' mathematical thinking abilities. The study involved 357 students from six eighth-grade public junior high schools in Bima. The selection of schools was ba...

Introduction Prior research has documented students’ struggles in conceiving of angle and angle measurement, which may stem from textbook and curriculum representations of angles as static. In this study, we examined grade 3-5 students’ mathematical thinking of angle during an educational robotics task implemented within a making space learning env...

Learning mathematics is a process of learning mathematical language, which is the external manifestation of mathematical thinking, the carrier of mathematical knowledge and mathematical ideas and methods, and at the same time, mathematical knowledge also needs mathematical language as a medium to disseminate and communicate. In the study of mathema...

We researched how the transition to remote learning during the COVID-19 pandemic affected the development of mathematical thinking and reading comprehension skills of high school students based on the analysis of the results of a standardized test for higher education admission. The total number of participants was N = 17,942, out of which N1 = 10,...

In the context of teacher education focusing on the specificities of teachers’ specialized knowledge, it’s evident the need for innovative and scientifically supported proposals for research with replicable approaches focusing on the foundational dimensions to improve the quality of discussions and students’ mathematical learning. Considering the s...

Linear algebra is an important foundational course in universities. This article integrates mathematical culture into the teaching of linear algebra, some attempts are made from four aspects: mathematical thoughts and methods, the history of mathematics, mathematics and other disciplines, and mathematical aesthetics, it enhances students' interest...

Students’ mathematical learning is bolstered when they have caring relationships with their teachers, yet there is little research on how learning environments may constrain or facilitate teacher care. In this study, I investigate how secondary mathematics teachers understood their care for students online during the COVID-19 pandemic. Through anal...

This paper examines the mathematical experiences of students with additional and diverse needs in multi-year classes within the educational context of small regional South Australian (SA) schools. Qualitative research methods were used to collect data about how students communicate their mathematical thinking. Opportunities for students to communic...

Kindergarten is emphasized as a critical first entry into the education system, as politicians and pundits believe kindergartners’ success can lead to later academic achievement. Therefore, a comprehensive understanding of kindergarten school readiness data should consider how it is measured and how that affects learning. Using the Early Childhood...

The aim of the study is to examine how lesson study activities affect pre-service classroom teachers' noticing of students' misconceptions. A qualitative research approach was adopted and action research method was used. The study was conducted with 9 pre-service teachers. The data were obtained from the observation form, video recordings, reflecti...

The previous school year (2022-2023) at General Vito Belarmino Integrated National High School saw Grade 8 students participate in remedial classes for basic whole number arithmetic as part of Project BHN. These classes aimed to address foundational knowledge gaps identified through diagnostic assessments. This paper proposes continuing these remed...