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Groth, Randall E.; Jones, Matthew; Knaub, Mary – Mathematical Thinking and Learning: An International Journal, 2018
Informal best fit lines frequently appear in school curricula. Previous research collectively illustrates that the adjective informal does not translate to cognitive simplicity. Using existing literature, we create a hypothetical framework of cognitive processes associated with studying informal best fit lines. We refine the framework using data…
Descriptors: Models, Cognitive Processes, Student Attitudes, Graphs
Frank, Brian W. – Physics Teacher, 2018
The goal of this paper is to illustrate different ways that cardsorting activities (or "card stacks") can be implemented in the introductory physics classroom, along with various tips and resources for getting started. My first attempt at developing a card stack came about from simply wanting to try out a fun way to change student…
Descriptors: Task Analysis, Problem Sets, Introductory Courses, Physics
Moala, John Griffith – Mathematics Education Research Group of Australasia, 2018
This paper addresses the need for empirical research on the processes by which students create algorithms. I analyse the collaborative work of three high-school students on a contextualised graph theory task, in which they created an algorithm for maximising the happiness score of a seating arrangement. The group found an optimal arrangement but…
Descriptors: Mathematics, Group Activities, Graphs, Foreign Countries
Ellis, Amy; Ely, Rob; Singleton, Brandon; Tasova, Halil Ibrahim – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
Middle school is a critical time when students begin formal study of functional relationships in algebra. However, many students struggle in understanding functions as relationships between quantities that change according to a dependency relationship. We report on the influence of Scaling Continuous Covariation in fostering productive ideas about…
Descriptors: Middle School Mathematics, Middle School Students, Algebra, Mathematical Logic
Samuels, Jason – Mathematics Teacher, 2017
Calculus has frequently been called one the greatest intellectual achievements of humankind. As a key transitional course to college mathematics, it combines such elementary ideas as rate with new abstract ideas--such as infinity, instantaneous change, and limit--to formulate the derivative and the integral. Most calculus texts begin with the…
Descriptors: Mathematics Instruction, Calculus, Graphs, Problem Solving
Hammett, Amy; Dorsey, Chad – Science Teacher, 2020
To learn with data, students need "data" to explore. This can be deceptive--data-rich experiences typically involve much more than a straightforward science lab. Solving real problems with data means identifying authentic questions that are meaningful to students and provide a foundation for deep inquiry. Such situations often lend…
Descriptors: Data Analysis, Problem Solving, Student Projects, Active Learning
Andrà, Chiara; Bernardi, Giulia – For the Learning of Mathematics, 2020
Results in Mathematics Education, from different theoretical perspectives, highlight students' difficulties with graphs, both in interpreting given ones and in producing their own graphs. In this paper, we take an affective lens to understand both a student's relationship with mathematical graphs and a teacher's role when a task with a graph is…
Descriptors: Difficulty Level, Mathematics Instruction, Graphs, Teacher Student Relationship
Rocha, Helena – Teaching Mathematics and Its Applications, 2020
Using technology to get a graphical representation of functions requires the choice of a suitable viewing window. The literature suggests teachers' knowledge as being central in this process, but does not tell us much about how the teachers should manage this. This study aims to improve understanding about the teachers' choices related to the…
Descriptors: Graphs, Mathematics Teachers, Pedagogical Content Knowledge, Knowledge Base for Teaching
Tairab, Hassan; Al Arabi, Khaleel; Rabbani, Lutfieh; Hamad, Sara – Physics Education, 2020
Studies on student learning of scientific concepts have shown that students often experience various difficulties in understanding basic physics concepts such as vector quantities, as a result of formal and informal learning. The purpose of the present study is to document Grade 11 students' difficulties in understanding vectors and their…
Descriptors: Grade 11, High School Students, Physics, Scientific Concepts
Rodriguez, Jon-Marc G.; Stricker, Avery R.; Becker, Nicole M. – Chemistry Education Research and Practice, 2020
Explanations of phenomena in chemistry are grounded in discussions of particulate-level behavior, but there are limitations to focusing on single particles, or as an extension, viewing a group of particles as displaying uniform behavior. More sophisticated models of physical processes evoke considerations related to the dynamic nature of bulk…
Descriptors: Science Instruction, Chemistry, Undergraduate Students, College Science
Myint, Leslie; Hadavand, Aboozar; Jager, Leah; Leek, Jeffrey – Journal of Statistics Education, 2020
We performed an empirical study of the perceived quality of scientific graphics produced by beginning R users in two plotting systems: the base graphics package ("base R") and the ggplot2 add-on package. In our experiment, students taking a data science course on the Coursera platform were randomized to complete identical plotting…
Descriptors: Statistics, Randomized Controlled Trials, Teaching Methods, Courseware
Ozmen, Zeynep Medine; Guven, Bulent; Kurak, Yasin – Eurasian Journal of Educational Research, 2020
Purpose: Previous research focused on graphical skills of the students, which remains a gap that exists, and there has not been comprehensive research on students' graphical literacy abilities. The present study aims to picture graphical literacy levels of the 8th grade students concerning the "reading," "interpreting,"…
Descriptors: Middle School Students, Grade 8, Knowledge Level, Graphs
Norton, Anderson; Ulrich, Catherine; Kerrigan, Sarah – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
We introduce a methodology for diagramming the ways students use sequences of mental actions to solve mathematical tasks. We studied 12 pre-service teachers as they solved a set of fractions tasks, ranked by cognitive demand. We present the unit transformation graphs for one of those pre-service teachers, to illustrate how she experienced and met…
Descriptors: Mathematics Education, Problem Solving, Preservice Teachers, Preservice Teacher Education
Sokolowski, Andrzej – Physics Education, 2021
Analysing graphs, formulating covariational relationships, and hypothesizing systems' behaviour have emerged as frequent objectives of contemporary research in physics education. As such, these studies aim to help students achieve these objectives. While a consensus has been reached on the cognitive benefits of emphasizing the structural domain of…
Descriptors: Graphs, Energy, Physics, Science Instruction
Huffling, Lacey; Scott, Heather; Weeks, Melissa; Johnson, Hayward; Gantt, Britt; Collins, Regina – Science Teacher, 2021
The lesson set in this article describes an introductory learning experience using wildlife camera-based citizen science projects hosted on Zooniverse (http://www.zooniverse.org). Wildlife camera projects were chosen due to the charisma of the study organisms, student engagement while looking at images, ease of access to projects, ease of teaching…
Descriptors: Science Instruction, Teaching Methods, Animals, Academic Language