TEACHING INCORRECT MATHEMATICAL META-LANGUAGE

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Posted by , August 13, 2017 | 0 comments

Among the many awesome and accurate maths resources, there are some that makes us say ‘nooo!!!’, and teaching students incorrect mathematical metalanguage is one of them! One that is oft repeated is calling three-dimensional objects, ‘shapes’. A shape by definition has 2 dimensions. The 3 dimensions are left to right, front to back, up and down. Another that we’ve...

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INTEGRATING ADDITION AND SUBTRACTION, AND PLACE VALUE

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Posted by , May 21, 2017 | 0 comments

INTEGRATING ADDITION AND SUBTRACTION, AND PLACE VALUE

When children first learn about addition and subtraction, it is informal. They focus their learning on the meaning of the concept. Adding means ‘joining groups together’ and subtraction means ‘taking away from a group’. When adding, children will select 2 or more number cards, make the groups counting by ones, join the groups together, then count the number in...

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HISTORY OF OUR AMAZING NUMBER SYSTEM

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Posted by , May 21, 2017 | 0 comments

HISTORY OF OUR AMAZING NUMBER SYSTEM

When people began needing to count items, they used sticks or stones with one-to-one correspondence. For example, they would collect 1 stick for every sheep in their flock. When they wanted to see if they still had all of their sheep, they would ‘count’, matching one stick for one sheep. If at the end of the ‘count’ they had...

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MATH MEMORIZERS ARE BEHIND RELATIONAL UNDERSTANDERS…

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Posted by , May 21, 2017 | 0 comments

MATH MEMORIZERS ARE BEHIND RELATIONAL UNDERSTANDERS…

Jo Boaler and Pablo Zoido found that in every country, math memorizers turned out to be the lowest achievers, and countries with high numbers of them also had the highest proportion of teens doing poorly on the PISA math assessment. Memorizers were approximately half a year behind students who used relational and self-monitoring strategies. To find out why, follow this...

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PLACE VALUE RESEARCH

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Posted by , May 21, 2017 | 0 comments

PLACE VALUE RESEARCH

COUNTING AND GROUPING Mathematics in the Early Grades: Counting & CardinalityEducation Development Center, Inc research on early numeracy and counting.  One-to-One Correspondence: Foundation LevelVictorian Department of Education Learning and Teaching Resources on early counting concepts. Difficulties Children Face When Learning to CountAnn Gervasoni from Australian Catholic University’s research finding several common difficulties and issues related to learning to count. PLACE...

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IGNORING THE MEANING OF THE EQUALS SIGN

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Posted by , May 21, 2017 | 0 comments

IGNORING THE MEANING OF THE EQUALS SIGN

Among the many awesome and accurate maths resources available on-line, there are some that makes us say ‘nooo!!!’, and ignoring the meaning of the equals sign is one of them! A fabulous investigation involving groups of students creating number sentences using post-it notes with numbers and symbols, was marred when groups recorded mathematical incorrect number sentences like: 2 x...

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WHAT ARE THE SIMILARITIES AND DIFFERENCES BETWEEN TOWN AND A LEARNING PLACE A TEACHING PLACE?

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Posted by , May 21, 2017 | 0 comments

WHAT ARE THE SIMILARITIES AND DIFFERENCES BETWEEN TOWN AND A LEARNING PLACE A TEACHING PLACE?

TOWN is a NSW whole-class intervention initiative which focuses on improving numeracy skills of students in the upper primary years identified as not performing at expected stage level. A Learning Place A Teaching Place provides whole class resources focused on develop relational understanding of maths concepts, including in students in the upper primary years identified as not performing at...

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WHAT ARE THE SIMILARITIES AND DIFFERENCES BETWEEN TEN AND A LEARNING PLACE A TEACHING PLACE?

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Posted by , May 21, 2017 | 0 comments

WHAT ARE THE SIMILARITIES AND DIFFERENCES BETWEEN TEN AND A LEARNING PLACE A TEACHING PLACE?

TEN is a NSW intervention program designed to provide support for students experiencing substantial difficulty in learning numeracy in the early years. A Learning Place A Teaching Place is a K-6 Mathematics Resource to provide relational understanding and metalanguage for all students, including those experiencing substantial difficulty in learning numeracy in the early years. For similarities and differences between TEN and...

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HOW DO ALPATP CONCEPT LEVELS FIT IN WITH THE NSW NUMERACY CONTINUUM?

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Posted by , May 21, 2017 | 0 comments

HOW DO ALPATP CONCEPT LEVELS FIT IN WITH THE NSW NUMERACY CONTINUUM?

Both the NSW Numeracy Continuum (also known as PLAN DATA) and the Concept Sequences at A Learning Place A Teaching Place are based on Learning Research. On the NSW Numeracy Continuum, Aspects 1 and 2 ( are both based on Learning Research from 1996. The remaining Aspects are based on Learning Research from between 1998 (Place Value and Multiplication...

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FRACTIONS RESEARCH

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Posted by , May 21, 2017 | 0 comments

FRACTIONS RESEARCH

Five interrelated sub-constructs of fractions – part-whole, ratio, operator, quotient, measure Charalambos Y. Charalambous and Demetra Pitta-Pantazi;  Doug Clarke, Anne Roche & Annie Mitchell; Annie Mitchell Multiplicative relationships between fractions Dianne Siemons Teaching the concept of unit in measurement interpretation of rational number – number lines H. Bahadir Yanik, Brandon Helding and Alfinio Flores Advice for making the teaching...

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