The exploration of children's drawings as mathematical representations is a current focus in early years mathematics education research. This paper presents a qualitative analysis of 72 kindergarten to Grade 3 (5 to 8 years old) children's drawings produced during problem-solving tasks centred on multiplicative strategies. Existing frameworks for…

The longitudinal progress of 42 Grade 1 students who participated in a 10-20 week Extending Mathematical Understanding (EMU) intervention program was examined to evaluate the effectiveness of the program for enhancing and accelerating mathematics learning. Overall the students made accelerated progress during Grade 1 and their learning was…

Describes a mathematics lesson using digital sums that allows teachers to assess third grade students' understanding of reasoning, arithmetic, and geometry. (ASK)

Primary students can learn about computation and estimation by reading a story about the use of money, then following up with estimation and calculation activities. Intermediate students can explore the relationship between addition and multiplication using a computation game, collaborating on when, how, and why they use addition and…

Describes activities for primary grades to practice shape identification, computation, and geometric designs. The materials include reproducible worksheets. (PK)

After a year of instruction, 70 kindergarten children were individually interviewed as they solved basic, multistep, and nonroutine word problems. Thirty-two used a valid strategy for all 9 problems, and 44 correctly answered 7 or more problems. Modeling provided a unifying framework for thinking about problem solving. (Author/MDH)

This guide represents the final experimental version of a pilot project conducted in the United States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

Following the Migrant Student Record Transfer System skills list, this checklist, designed for non-English speaking students, is a system for rapidly evaluating a student's skill level and for keeping track of the student's mastery of suggested objectives at the third grade level. Objectives to be mastered with 100% accuracy include: spelling…

This guide represents the final experimental version of a pilot project conducted in the Unites States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

Suggests that children enter school with a great deal of informal intuitive knowledge of mathematics that can serve as the basis for developing much of the formal mathematics of the primary school curriculum. Describes a research-based model of children's thinking that teachers can use to interpret, transform, and reframe their informal or…

Designed to help the teacher in presenting the material of unit nine's science-math strand for third graders, this supplement and ditto packet contains both group visual aids and seatwork activities for individual students. Notations in the teacher's guide indicate when the supplementary materials should be used. Concepts explored in the four kits…

Instructional and assessment activities in science and math for third graders are presented in this teacher's guide to unit nine. Focus, objectives and materials for each activity are in English and Spanish, while teacher instructions are only in Spanish. The unit's theme is "the nation as a community"; related to the theme are the four spiraling…

The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…

The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…