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Rau, Martina A.; Aleven, Vincent; Rummel, Nikol – Instructional Science: An International Journal of the Learning Sciences, 2017
Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally explaining how…
Descriptors: Elementary School Students, Grade 3, Grade 4, Grade 5
Rau, Martina A.; Aleven, Vincent; Rummel, Nikol – Grantee Submission, 2017
Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics (STEM) domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally…
Descriptors: Elementary School Students, Grade 3, Grade 4, Grade 5
Hilton, Annette; Hilton, Geoff; Dole, Shelley; Goos, Merrilyn – Australian Primary Mathematics Classroom, 2015
Find out how to use photographic images to support the conceptual development of proportional thinking. This paper provides insight into a sequenced activity that promotes student engagement and makes links to familiar and unfamiliar contexts.
Descriptors: Visual Aids, Photography, Concept Formation, Mathematical Concepts

Grassl, Richard – Mathematics Teacher, 1996
Presents an activity that involves drawing pictures to collect data, conjecturing a recurrence relation, and solving the relation using geometric series and partial fractions. (MKR)
Descriptors: Fractions, Functions (Mathematics), Learning Activities, Patterns in Mathematics

Middleton, James A.; Heuvel-Panhuizen, Marja van den – Mathematics Teaching in the Middle School, 1995
Examines the use of a ratio table for developing students' conceptual understanding of rational number. The ratio table is an alternative to cross-multiplication and can utilize both additive and multiplicative strategies. It organizes numbers and keeps track of operations and results, which aids the teacher in assessment. (MLB)
Descriptors: Arithmetic, Computation, Concept Formation, Elementary School Mathematics

Tunis, Harry B., Ed. – Mathematics Teacher, 1993
Describes three classroom techniques involving bulletin boards for the mathematics classroom; a visual representation of fractions in which the school day is broken up into parts by hour; and methods to test and review mathematical concepts while students work cooperatively. (MDH)
Descriptors: Bulletin Boards, Classroom Environment, Classroom Techniques, Cooperative Learning
Spanish Curricula Development Center, Miami Beach, FL. – 1976
A supplement to the teacher's guide for unit eight of a math/science strand for Spanish-speaking third graders, these instructional aids and ditto masters are designed to help the teacher carry out the instructional and assessment activities for kits 29-32. The guide gives the timetable for when these materials are to be used. Basic theme for the…
Descriptors: Addition, Bilingual Education, Educational Media, Elementary School Mathematics