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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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Andrews-Larson, Christine; Wilson, Jonee; Mauntel, Matthew; Smith, Jessica; Hawthorne-Glover, Thomeca – Mathematics Teacher: Learning and Teaching PK-12, 2023
Integer addition and subtraction entail significant conceptual shifts for many students, and teachers often offer rules intended to help mitigate this challenge. When these rules are not connected to sense making, a misremembered rule can function as a barrier to student learning. In this article, the authors highlight the work of an expert…
Descriptors: Numbers, Subtraction, Thinking Skills, Mathematics Education
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Bozkurt, Ali; Güzel, Mehmet; Degirmen, Sengül – Journal of Inquiry Based Activities, 2022
This paper reports on the design, implementation, and evaluation processes of an activity that focused on the comparison meaning of the subtraction of integers and included the number line model as the primary representation. Finding the answer and determining the sign of the answer in the subtraction questions were targeted as the learning…
Descriptors: Learning Activities, Subtraction, Mathematics Activities, Mathematical Concepts
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Cetin, Hatice – Universal Journal of Educational Research, 2019
Many related studies have studied many different models in the teaching of the concept of integer, which have reported that counters failed to completely help with the understanding of the concept of and operation modeling in integers. The purpose of the present research is presenting the "opposite model", which is a quantitative model,…
Descriptors: Numbers, Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts
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Wessman-Enzinger, Nicole M. – Research in Mathematics Education, 2018
This chapter describes instances of play within a teaching episode on integer addition and subtraction. Specifically, this chapter makes the theoretical distinction between integer play and playing with integers. Describing instances of integer play and playing with integers is important for facilitating this type of intellectual play in the…
Descriptors: Numbers, Mathematics Instruction, Addition, Subtraction
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Bofferding, Laura – Research in Mathematics Education, 2019
This chapter focuses on the development of concepts that children draw on as they work toward understanding negative numbers. Framed from a conceptual change lens, I discuss different interpretations children have of minus signs, numerical order, numerical values, and addition and subtraction operations and how children draw on these varied…
Descriptors: Numbers, Mathematics Skills, Concept Formation, Teaching Methods
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Farrugia, Marie Therese – For the Learning of Mathematics, 2017
In this article, I describe a research/teaching experience I undertook with a class of 5-year-old children in Malta. The topic was subtraction on the number line. I interpret the teaching/learning process through a semiotic perspective. In particular, I highlight the role played by the gesture of forming "frog jumps" on the number line.…
Descriptors: Mathematics Instruction, Subtraction, Foreign Countries, Young Children
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Manousaridis, Tracy – Mathematics Teacher: Learning and Teaching PK-12, 2021
Students thrive when presented with tasks that are approachable, challenging, and interesting. Remembering to challenge all students is essential, not just those who excel in mathematics; teachers need to open the door to meaningful mathematics for every learner. In this exploration into subtraction patterns, teachers will see how curious young…
Descriptors: Mathematics Instruction, Grade 3, Elementary School Mathematics, Inquiry
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Quane, Kate; Brown, Leni – Australian Primary Mathematics Classroom, 2022
Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…
Descriptors: Mathematics Instruction, Toys, Manipulative Materials, Foreign Countries
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Verzosa, Debbie Marie B.; De Las Peñas, Ma. Louise Antonette N.; Aberin, Maria Alva Q.; Garces, Len Patrick Dominic M. – International Journal for Technology in Mathematics Education, 2018
This paper presents a mobile app, AlgeOps, created to assist students in understanding addition and subtraction of integers. The design of the app amalgamated the neutralization model (based on cancelling integers of opposite signs) and the number line model to offer a more holistic representation of integers. Furthermore, since AlgeOps presents…
Descriptors: Foreign Countries, Computer Oriented Programs, Handheld Devices, Mathematics Instruction
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Fuson, Karen C. – Advances in STEM Education, 2018
Howe (2014, Three pillars of first grade mathematics, and beyond. In: Li Y. & Lappan G. (eds), Mathematics curriculum in school education, Springer, Dordrecht, pp 183-207) identified three pillars of first grade mathematics and beyond that described central mathematical and sense-making aspects of major Common Core State Standards Math…
Descriptors: Elementary School Mathematics, Common Core State Standards, Mathematics Instruction, Addition
Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2018
The "Reasoning Algebraically about Operations Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty-four cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation into the…
Descriptors: Mathematics Instruction, Elementary Schools, Middle Schools, Teaching Methods
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Bofferding, Laura – Research in Mathematics Education, 2018
This chapter focuses on the interaction of two first graders as they attempt to make sense of a particular instructional context for learning negative numbers. The context is one where they move an elevator to a building's floors above and below ground in order to model integer addition and subtraction problems. In particular, the focus of the…
Descriptors: Numbers, Number Concepts, Concept Formation, Mathematics Instruction
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Gleason, Brian – Mathematics Teacher, 2018
In this article, a mathematics teacher educator presents an activity designed to pique the interest of prospective secondary mathematics teachers who may doubt the value of learning abstract algebra for their chosen profession. Herein, he contemplates: what "is" intended by the widespread requirement that high school mathematics teachers…
Descriptors: Mathematics Instruction, Mathematics Teachers, Teacher Educators, Secondary Education
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Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematics Teaching in the Middle School, 2016
Recognizing and using mathematical structure are key components of mathematical reasoning. The authors believe that one productive way to support students' use of structure is by identifying opportunities to address structure in the context of what teachers are already doing, rather than developing additional tasks or new curriculum materials. The…
Descriptors: Mathematical Logic, Mathematics Instruction, Instructional Materials, Numbers
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