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Demircioglu, Handan; Hatip, Kudret – International Journal of Curriculum and Instruction, 2023
The aim of this study is to examine 8th grade students' Van Hiele geometry thinking levels, proof writing and justification skills. The research was carried out with sixteen eighth grade students of a private school in Sivas. Participants were selected based on an easily accessible sample. The data were collected from the students who participated…
Descriptors: Foreign Countries, Geometry, Grade 8, Mathematical Logic
Jessica Raley – ProQuest LLC, 2024
Mathematical justifications offer an approach to which students deepen and extend their mathematical thinking. This process has the potential to enhance students' conceptual understanding. Mathematical practices and process standards ask students to use critical thinking skills to justify their reasoning, but this is usually seen as proofs in high…
Descriptors: Mathematical Concepts, Concept Formation, Mathematical Logic, Thinking Skills
María J. Beltrán-Meneu; Rafael Ramírez-Uclés; Juan M. Ribera-Puchades; Angel Gutiérrez; Adela Jaime – Mathematics Teaching Research Journal, 2024
We present a case study of proving by three 12-13-year-old students with different levels of mathematical giftedness. After analysing students' proofs, we conclude that: there was a relation on the consistency and the students' levels of mathematically giftedness, being the least consistent the student not mathematically gifted and the most…
Descriptors: Academically Gifted, Early Adolescents, Mathematics Skills, Mathematics Instruction
Sevgi, Sevim; Orman, Feyzullah – International Journal of Mathematical Education in Science and Technology, 2022
In this paper, Harel and Sowder's proof schemes of taxonomy were applied for identifying eighth grade students' learning of proof and proofing. This study aimed to examine what kind of proof schemes are used in geometry and measurement learning areas and student's skills in giving proof and their opinions about proof. Qualitative methods were…
Descriptors: Grade 8, Validity, Mathematical Logic, Geometry
Mikio Miyazaki; Taro Fujita; Koji Iwata; Keith Jones – International Journal of Mathematical Education in Science and Technology, 2024
This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
Kimberly Dwyer; Angela M. Kelly – Journal for Research in Mathematics Education, 2025
This quantitative correlational study examines school-level longitudinal outcomes of eighth-grade algebra universal acceleration in 15 U.S. school districts when compared with selective acceleration in 289 school districts. Universally accelerated school districts had higher enrollments, with large effect sizes, in geometry, algebra 2, and…
Descriptors: Algebra, Grade 8, Mathematics Instruction, Acceleration (Education)
Shah, Meetal Jaswant – ProQuest LLC, 2018
Significant attention is being paid to how assessments aligned to learning trajectories (LTs) can be used as a means to locate students' progress in learning big ideas in mathematics over time. Furthermore, data from LT-aligned assessments have been signaled as key to driving student-centered instruction on a day-to-day basis. For LTs and…
Descriptors: Grade 8, Middle School Students, Validity, Models
Fitriati, Fitriati; Rosli, Roslinda; Iksan, Zanaton H. – Journal on Mathematics Education, 2023
Planning a mathematics lesson plan is a complex process. Its quality contributes to the effectiveness of mathematics instruction. Given this significance, improving prospective mathematics teachers' lesson planning ability is essential for teacher preparation programs to produce effective teachers. This study examines how a lesson study within a…
Descriptors: Teacher Education Programs, Lesson Plans, Mathematics Teachers, College School Cooperation
Brockmann-Behnsen, Dirk; Rott, Benjamin – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
We report on a long-term study which was executed in a German secondary school with 128 eights graders (ages 14 to 15) in four different classes. Two of these classes served as control groups. The mathematics lessons of the other two classes (treatment groups) were frequently enriched by distinguished phases in which structured argumentation and…
Descriptors: Foreign Countries, Secondary School Students, Grade 8, Persuasive Discourse
Miyazaki, Mikio; Fujita, Taro; Jones, Keith – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Amongst important and under-researched questions are how introductory lessons can be designed for teaching initial proofs to junior high school students, and how such lessons enrich students' understanding of proofs. With a view to improving the learning situation in the classroom, in this paper we report on the various functions of introductory…
Descriptors: Flow Charts, Mathematical Logic, Validity, Introductory Courses
Bankov, Kiril – European Journal of Science and Mathematics Education, 2013
Geometry plays an important role in the school mathematics curriculum all around the world. Teaching of geometry varies a lot (Hoyls, Foxman, & Kuchemann, 2001). Many countries revise the objectives, the content, and the approaches to the geometry in school. Studies of the processes show that there are not common trends of these changes…
Descriptors: Geometry, Mathematics Instruction, Foreign Countries, Mathematics Curriculum
Bokosmaty, Sahar; Sweller, John; Kalyuga, Slava – American Educational Research Journal, 2015
Research has demonstrated that instruction that relies heavily on studying worked examples is more effective for less experienced learners compared to instruction emphasizing problem solving. However, the guidance associated with studying some worked examples may reduce the performance of more experienced learners. This study investigated…
Descriptors: Geometry, Problem Solving, Expertise, Teaching Methods
Cukier, Mimi; Asdourian, Tony; Thakker, Anand – Mathematics Teacher, 2012
Geometry provides a natural window into what it is like to do mathematics. In the world of geometry, playful experimentation is often more fruitful than following a procedure, and logic plus a few axioms can open new worlds. Nonetheless, teaching a geometry course in a way that combines both rigor and play can be difficult. Many geometry courses…
Descriptors: Geometry, Grade 8, Mathematics Instruction, Problem Solving
Hughes, Gerunda B.; Daro, Phil; Holtzman, Deborah; Middleton, Kyndra – American Institutes for Research, 2013
Introduction: For decades, prior to the inception of the Common Core State Standards (CCSS), the National Assessment of Educational Progress (NAEP) was the only vehicle through which states could assess the progress of their students using a common metric. Now, 45 states, 4 U.S. territories, and the District of Columbia have adopted the CCSS to…
Descriptors: National Competency Tests, Mathematics Tests, Mathematics Achievement, State Standards
Seyitoglu, Elif; Akkaya, Kübra; Yildiz, Cemalettin; Arslan, Selahattin; Çostu, Serkan – Online Submission, 2011
In this study, students' views were taken about history of Pythagoras theorem that contains improved activity which in the history people was thrilled at and there are a lot of their proofs. The study was conducted with 15 students 8th grade at a public elementary school in Trabzon during the spring term of 2009-2010 school year. Case study method…
Descriptors: Student Attitudes, Mathematics Instruction, Elementary School Students, Grade 8
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