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Showing 1 to 15 of 335 results Save | Export
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Christy Pettis; Aran Glancy – Mathematics Teacher: Learning and Teaching PK-12, 2024
As students have struggled to use the "chip model" (i.e., red and yellow chips representing positive and negative numbers) to model integer addition and subtraction and have found it confusing, the authors developed a series of activities based on adding and removing opposite objects to and from a boat to better help students in this…
Descriptors: Mathematics Instruction, Numbers, Addition, Subtraction
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Karoline Smucker; Francisco Sepúlveda; Travis Weiland; Susan Cannon; Stephanie Casey; Sunghwan Byun – Mathematics Teacher: Learning and Teaching PK-12, 2024
Statistics has been a content domain in the mathematics curriculum for decades. However, statistics is a distinct discipline from mathematics and there are important differences in how one should teach the two disciplines. In this article, the authors consider how these differences can inform an adaptation to the 5 Practices for Orchestrating…
Descriptors: Statistics, Statistics Education, Mathematics Instruction, Teaching Methods
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Rachel Wiemken; Gabriel Matney; Brandon Floro – Mathematics Teacher: Learning and Teaching PK-12, 2024
Seeking to leverage students' interests into mathematical tasks and noticing how their students excitedly discussed the NCAA's Division 1-A football rankings every year, the authors devised a mathematical modeling task in which students could use mathematics to justify their rankings. The task takes students on a journey to consider the complexity…
Descriptors: Team Sports, Mathematics Instruction, Mathematical Models, Student Interests
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Joana Conceição; Margarida Rodrigues – Mathematics Teacher: Learning and Teaching PK-12, 2024
Can You Build It? is an engaging Improve It! task that asks children to construct 3D shapes based on 2D depictions. Students' initial 3D creations often need revision, and as they build and re-build, they develop spatial relationships. This task was implemented in a first-grade class, connected to composing 3D geometric shapes to address the…
Descriptors: Mathematics Instruction, Geometric Concepts, Task Analysis, Grade 1
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Susan Boyd; Liza Bondurant; Annalise Johnson – Mathematics Teacher: Learning and Teaching PK-12, 2024
Building activities can be used any time in the school year in mathematics classes to promote problem solving, perseverance, and to develop students' spatial thinking. Spatial visualization skills are the "ability to mentally manipulate, rotate, twist, or invert a pictorially presented stimulus object." The authors were guided by the…
Descriptors: Mathematics Instruction, Puzzles, Manipulative Materials, Visualization
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Craig J. Cullen; Lawrence Ssebaggala; Amanda L. Cullen – Mathematics Teacher: Learning and Teaching PK-12, 2024
In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…
Descriptors: Models, Mathematics Instruction, Teaching Methods, Generalization
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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
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Sandra Vorensky – Mathematics Teacher: Learning and Teaching PK-12, 2024
The Great Mini-Golf Project requires students to use a ruler to identify measurements to the quarter-inch, with careful precision and accuracy, which supported the Standards for Mathematical Practice 5 and 6: using appropriate tools to solve mathematical problems with precision (NGA Center & CCSSO, 2010). This project also supported Standard…
Descriptors: Mathematics Instruction, Geometry, Measurement, Athletics
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Helen Francis; Susan O. Cannon – Mathematics Teacher: Learning and Teaching PK-12, 2024
Students at the elementary level should have opportunities to critique the world through mathematics and to see themselves as capable doers of mathematics. The lesson described in this article prompted students to consider how to use mathematics to organize an emergency evacuation. In this article, the authors show how small changes to a task…
Descriptors: Mathematics Instruction, Teaching Methods, Social Influences, Elementary School Students
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Kristyn Sartin – Mathematics Teacher: Learning and Teaching PK-12, 2024
Integer operations are typically introduced in sixth grade, but they are a consistent area of struggle among these students. This struggle also inhibits their understanding of algebraic computations involving positive and negative terms. In this article, the author provides introductory tasks and models for adding and subtracting integers that can…
Descriptors: Grade 6, Middle School Students, Mathematics Instruction, Numbers
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Hamilton L. Hardison – Mathematics Teacher: Learning and Teaching PK-12, 2024
A one-degree angle would certainly be difficult to draw accurately, especially without the aid of other tools like a protractor. However, mentally making a one-degree angle in visualized imagination is not only possible, but it is important for students' emergent understandings of angular measure. When students begin learning about length,…
Descriptors: Teaching Methods, Visualization, Mathematics Instruction, Elementary Secondary Education
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Emma C. Gargroetzi; Gina Y. Wei – Mathematics Teacher: Learning and Teaching PK-12, 2024
This activity engages students with the concept of mathematics identity to expand conceptions of what mathematics is and therefore what doing mathematics and being mathematical can mean. By mathematics identity, we refer both to ways a learner sees themselves and participates in mathematics, and the ways that others speak about or treat that…
Descriptors: Mathematics Activities, High School Teachers, Self Concept, Learner Engagement
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Taajah Felder Witherspoon – Mathematics Teacher: Learning and Teaching PK-12, 2024
There is a substantial amount of literature focusing on the importance of culturally relevant teaching that emphasizes connecting the school's curriculum with the culture of students. This approach can be accomplished through the concept of ethnomathematics. Ethnomathematics studies how cultural groups practice and use math in daily activities…
Descriptors: Mathematics Education, Self Concept, Blacks, Ethnic Groups
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Alexandra M. Flathers; Lauren R. Paternostro; Sydney B. Resnick; Tutita M. Casa – Mathematics Teacher: Learning and Teaching PK-12, 2024
Over three decades ago, National Council of Teachers of Mathematics (NCTM, 1991) proposed that "for students to develop the ability to formulate problems, to explore, conjecture, and reason logically, to evaluate whether something makes sense, classroom discourse must be founded on mathematical evidence" (p. 34). As math interventionists…
Descriptors: Mathematics Instruction, Teaching Methods, Classroom Techniques, Number Concepts
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Brooke Krejci; Kimberly Conner – Mathematics Teacher: Learning and Teaching PK-12, 2024
In high school geometry, students are expected to deepen their understanding of geometric shapes and their properties, as well as construct formal mathematical proofs of theorems and geometric relationships. The process of helping students learn to construct a geometric proof can be challenging given the multiple competencies involved (Cirillo…
Descriptors: Geometry, High School Students, Mathematics Education, Mathematical Logic
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