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Nikula, Johannah; Neumayer DePiper, Jill; Driscoll, Mark – Grantee Submission, 2020
This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…
Descriptors: Foreign Countries, Mathematics Skills, Mathematics Education, Mathematical Models
Jones, Joshua David – Mathematics Teacher: Learning and Teaching PK-12, 2022
To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. This article explores an activity in which grade 10 students learned how a famous AI algorithm (the Apriori algorithm) uses conditional probability to automate the process of…
Descriptors: Mathematics Instruction, Teaching Methods, Grade 10, High School Students
Rui Kang – ProQuest LLC, 2022
The teaching of mathematical modeling is limited in P-12 classrooms. Little is known in regards to how to support teachers to successfully enact modeling activities. Teachers do not always appreciate the value of modeling activities in mathematics learning and often feel unprepared to implement modeling in their classrooms. Teachers often struggle…
Descriptors: Middle School Teachers, High School Teachers, Mathematics Instruction, Mathematical Models
Jeannotte, Doris; Kieran, Carolyn – Educational Studies in Mathematics, 2017
The development of students' mathematical reasoning (MR) is a goal of several curricula and an essential element of the culture of the mathematics education research community. But what mathematical reasoning consists of is not always clear; it is generally assumed that everyone has a sense of what it is. Wanting to clarify the elements of MR,…
Descriptors: Mathematics Instruction, Thinking Skills, Mathematics Education, Mathematical Models
Bruder, Andrea; Kummel, Miro – PRIMUS, 2019
We present our experience with an open-ended lab activity that we designed for students with a Calculus 1 background. With the goal of learning how scientists study transport in streams, the students collected data on how a pulse of leaves travels down a nearby stream. Students who had little to no experience with data with two independent…
Descriptors: Calculus, Pollution, Inquiry, Problem Based Learning
Rasmussen, Chris; Dunmyre, Justin; Fortune, Nicholas; Keene, Karen – PRIMUS, 2019
This article provides an overview of a modeling sequence that culminates in student reinvention of a bifurcation diagram. The sequence is the result of years of classroom-based research and curriculum development grounded in the instructional design theory of Realistic Mathematics Education. The sequence of modeling tasks and examples of student…
Descriptors: Mathematical Models, Teaching Methods, Mathematics Instruction, Inquiry
Maass, Katja; Geiger, Vince; Ariza, Marta Romero; Goos, Merrilyn – ZDM: The International Journal on Mathematics Education, 2019
In times of rapid technological innovation and global challenges, the development of science, technology, engineering and mathematics (STEM) competencies becomes important. They improve the personal scientific literacy of citizens, enhance international economic competitiveness and are an essential foundation for responsible citizenship, including…
Descriptors: Mathematics Education, STEM Education, Mathematics Skills, Interdisciplinary Approach
Geske, Matthew – Physics Teacher, 2019
Many introductory physics courses begin with the teaching of motion and kinematics. This naturally leads to the use of constant acceleration equations to solve various problems involving common motions (free fall being a notable example). Students can sometimes get the impression that these equations are the only thing they need to remember in…
Descriptors: Physics, Science Instruction, Scientific Concepts, Introductory Courses
Lazenby, Katherine; Rupp, Charlie A.; Brandriet, Alexandra; Mauger-Sonnek, Kathryn; Becker, Nicole M. – Journal of Chemical Education, 2019
Understanding the nature and purpose of models, including mathematical models, is critical to enabling undergraduate chemistry students to use models to predict and explain phenomena. However, students often do not have systematic conceptions about different kinds of models. To gain a sense of how students understand different models in the…
Descriptors: Undergraduate Students, Chemistry, Science Instruction, Teaching Methods
Stillman, Gloria Ann; Brown, Jill P. – Mathematical Thinking and Learning: An International Journal, 2023
This paper investigates students' mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has…
Descriptors: Mathematical Models, Data Analysis, Grade 10, Grade 11
Cevizci, Bekir – Journal of Inquiry Based Activities, 2018
The Dijkstra's algorithm is an algorithm that determines the shortest paths needed to go from a starting node to any node in a graph. In this article, the process and results of an activity that included route formation among the provinces in the Aegean region using Dijkstra's algorithm are shared. The activity was designed based on a mathematical…
Descriptors: Computation, Mathematics, Graphs, Mathematics Skills
Wilkerson, Michelle H.; Bautista, Alfredo; Tobin, Roger G.; Brizuela, Bárbara M.; Cao, Ying – Journal of Mathematics Teacher Education, 2018
Modeling is a major topic of interest in mathematics education. However, the field's definition of models is diverse. Less is known about what teachers identify as mathematical models, even though it is teachers who ultimately enact modeling activities in the classroom. In this study, we asked nine middle school teachers with a variety of academic…
Descriptors: Middle School Teachers, Mathematics Instruction, Mathematics Teachers, Mathematical Models
Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour – International Journal of Mathematical Education in Science and Technology, 2018
In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.
Descriptors: Matrices, Algebra, Mathematics Instruction, Mathematical Models
Biccard, Piera – Pythagoras, 2018
This article explores a conceptual relationship between learner choice and mathematical sense-making. It argues that when learners can exercise choice in their mathematical activities, mathematical sense-making can be enhanced. The literature around mathematical modelling suggests a link between sense-making and learner choice. A three-tiered…
Descriptors: Mathematics Instruction, Comprehension, Mathematics Activities, Mathematical Models
Parra, Alfredo; Ordenes, Jorge; de la Fuente, Milton – Physics Teacher, 2018
Science learning for undergraduate students requires grasping a great number of theoretical concepts in a rather short time. In our experience, this is especially difficult when students are required to simultaneously use abstract concepts, mathematical reasoning, and graphical analysis, such as occurs when learning about RC circuits. We present a…
Descriptors: Science Instruction, Undergraduate Students, Mathematical Models, Scientific Concepts