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Jedediyah Williams – Mathematics Teacher: Learning and Teaching PK-12, 2024
Email filters classify new messages as either spam or not spam based on word frequency, syntax, and metadata. A "classifier" is an algorithm that maps input data into categories based on distinguishing characteristics, or "features." Features can be raw data or attributes derived from that data. "Feature engineering"…
Descriptors: Classification, Engineering, Numbers, Algorithms
Gabriel Gianni Cantanelli; Barbara A. Shipman – PRIMUS, 2024
Through galleries of graphs and short filmstrips, this paper aims to sharpen students' eyes for visually recognizing continuous functions. It seeks to develop intuition for what visual features of a graph continuity does and does not allow for. We have found that even students who can work correctly with rigorous definitions may not be able to…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Visual Aids
Tiffany Berman; Casey Hord – Insights into Learning Disabilities, 2024
Research has shown the importance of helping students, especially those with mild-to-moderate learning disabilities, to offload information during problem-solving. When students can get their thoughts onto paper, number line strategies can help them develop a firm foundation in mathematical problem-solving while understanding the relationships…
Descriptors: Mathematics Instruction, Visual Aids, Problem Solving, Arithmetic
Nicole M. Weissman-Enzinger – Voices from the Middle, 2024
An important element to doing mathematics and developing conceptual understanding in mathematics is creating and making sense of visual representations. Developing mathematical understanding happens when students invent (or reinvent) strategies and think deeply about why a strategy works. Although societal and political pressures may say otherwise…
Descriptors: English, Language Arts, Mathematics Instruction, Imagination
Pitágoras Pinheiro de Carvalho; Afonso Norberto da Silva; Maria da Cruz Vieira da Silva; William Fernando da Silva Rodrigues – Discover Education, 2024
This work was developed to present constructive steps of multiple integrals using the open-source software Geogebra. The main focus was directed towards creating three-dimensional graphs of integrals through Riemann sums in two variables. Some practical examples are developed to demonstrate the reliability of the presented results, which are…
Descriptors: Mathematics Instruction, Open Source Technology, Computer Software, Graphs
Gamze Kurt; Erdinç Çakiroglu – International Journal of Mathematical Education in Science and Technology, 2025
This case study investigated the development of prospective mathematics teachers' technological pedagogical content knowledge (TPACK) in graphical data displays with (VM) within the context of a microteaching lesson study (MLS). This research investigated how five participants integrated technology and implemented a lesson plan aimed to teach…
Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Technological Literacy, Graphs
Musarurwa David Chinofunga; Philemon Chigeza; Subhashni Taylor – Mathematics Education Research Journal, 2025
Supporting students' problem-solving skills, solution planning and sequencing of different stages that are involved in successfully developing a meaningful solution to a problem has been a challenge for teachers. This case study was informed by reflective investigation methodology which explored how procedural flowcharts can support student…
Descriptors: Mathematics Instruction, Problem Solving, Visual Aids, Teaching Methods
Francesca Ferrara; Giulia Ferrari – Educational Studies in Mathematics, 2025
In this paper, we are interested in a dynamic vision of diagrams, focusing on their evocative power, their force in mathematical activity and their potential for interaction with mathematical objects. We are inspired by the work of C. S. Pierce to see diagrams as "inscriptions that organise space and articulate relations" and that of the…
Descriptors: Visual Aids, Mathematics Activities, Mathematics Education, Educational Philosophy
Rebecca Sorsen – ProQuest LLC, 2024
In the first part, we investigate Birman, Ko, and Lee's left canonical form of a braid and give a new diagrammatic approach. We use the left canonical form to characterize almost strongly quasipositive braids. In the second part, we investigate students' confidence in mathematics and problem solving skills. Every math instructor has heard students…
Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Self Efficacy
Giacomone, Belén; Godino, Juan D.; Blanco, Teresa F.; Wilhelmi, Miguel R. – International Journal of Science and Mathematics Education, 2023
Diagrams and in general the use of visualization and manipulative material play an important role in mathematics teaching and learning processes. Although several authors warn that mathematics objects should be distinguished from their possible material representations, the relations between these objects are still conflictive both from an…
Descriptors: Mathematics Instruction, Visual Aids, Mathematics Activities, Mathematical Logic
Aymen Hawani; Anis ben Chikha; Wael Zoghlami; Santo Marsigliante; Antonella Muscella – Discover Education, 2025
This study investigated the effect of the motor game 'Exchequer Motor Game' (EMG) on first-grade children's Level of Geometric Thinking (LGT) and their post-learning mood tracking (PLMT). Thirty children (age 6.1 ± 0.7 years; physical education experience: 0.6 ± 0.4 years), classified at the "Visualization" stage of van Hiele's geometric…
Descriptors: Grade 1, Elementary School Students, Geometric Concepts, Thinking Skills
Francisco Regis Vieira Alves; Paula Maria Machado Cruz Catarino; Renata Passos Machado Vieira; Elen Viviani Pereira Spreafico – International Electronic Journal of Mathematics Education, 2024
The tradition of studies involving the combinatorial approach to recurring numerical sequences has accumulated a few decades of tradition, and several problems continue to attract the interest of mathematicians in several countries. This work specifically discusses the Fibonacci, Pell, and Jacobsthal sequences, focusing on Mersenne sequences. The…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Teachers, Problem Solving
Lisarelli, Giulia – Digital Experiences in Mathematics Education, 2023
This study focuses on a case study that highlights the mathematical discourse developed by two pairs of students when dealing with a specific transition task, i.e., an activity leading to the construction of a graph of a function based on the exploration of another representation of the same function. Such a task was designed to work on the…
Descriptors: Graphs, Mathematics, Mathematics Instruction, High School Students
Elizabeth A. Stevens; Megan H. Mowbray – TEACHING Exceptional Children, 2024
Typically, vocabulary instruction is associated as part of reading instruction. However, vocabulary instruction is also a necessary component of mathematics instruction. In fact, state and national standards (e.g., Common Core State Standards) require elementary students to communicate about mathematics to provide clear explanations, construct…
Descriptors: Mathematics Instruction, Vocabulary Development, Elementary School Students, Word Problems (Mathematics)
An, Song A.; Tillman, Daniel A.; Smith, Karime; Hachey, Alyse C. – Journal of Mathematics Education at Teachers College, 2023
This case study inspected mathematical learning opportunities that employed the results from the participating preservice teachers' (n=75) original visual arts creation process. Data obtained during this study provided empirical evidence for the educational viability of employing original Mondrian-style rectangle sets as a context for generating…
Descriptors: Preservice Teachers, Reflective Teaching, Visual Stimuli, Visual Aids