IEC Conference 2011 - Literacy/Maths/High Challenge-High Support

Mathematics – high challenge with high support A focus on shape and geometry

High Support ,[object Object],[object Object],Irregular hexagonal prism Research says: If it is tested, its important! perpendicular height

High Support ,[object Object],[object Object],This is very important in geometry, because theorems are always abbreviated.

High Support ,[object Object],[object Object],x o 50 o Solution: x o + 50 o = 90 o (a right angle is 90 o .)  x o = 90 o  50 o x o = 40 o Teacher: What is the answer? Student: The answer is 40 0 . Teacher: How did you get 40 o ? Teacher: Why did you subtract 50 o from 90 o ? Student: I subtracted 50 o from 90 o . Student: Because a right angle is 90 o .

High Support ,[object Object],True or false: The opposite sides of a trapezium are equal. Click here for more on articles. meet at right angles. each other. its angles. bisect equal. parallel. perpendicular. are of a rhombus diagonals opposite sides opposite angles adjacent sides The Emphasise: ‘The’ means ‘all’.

High Support ,[object Object],The ‘little’ words often get missed. between From………. to 4

Vocabulary is only about 40% of the problem, so… … how can we improve reading and writing outcomes? Maths

High support – high challenge ,[object Object],Note: The most important adjective is always next to the noun. When students are ready, introduce complex sentences. and…… but……

High support – high challenge ,[object Object],A triangular prism, which is a solid shape , has two congruent triangular faces and three different rectangular faces. Modelled description: The triangular faces have a base length of 3 cm and perpendicular heights of 4 cm. The height of the prism is 6 cm. Draw the diagram and write these measurements in the correct place on your prism. 3 cm 4 cm 6 cm

High support – high challenge Writing in a detailed descriptive way usually helps the ability to read for detail. eg cloze, dictaglos, matching activities, barrier games,…etc Use any ESL strategies suitable for your class,

High support – high challenge ,[object Object],Mathematical descriptions usually shrink into one paragraph!

High support – high challenge ,[object Object],Writing reinforces reading, and thus, we hope, understanding. The next sentence(s) give extremely accurate detail. = Subsequent paragraphs First sentence = First paragraph In maths: -> In English:

High support – high challenge ,[object Object]

High support – high challenge OR

High support – high challenge ,[object Object],References are quite detailed in maths.

High support – high challenge ,[object Object],Difficult Plurals axis axes vertex vertices half halves

High support – high challenge ,[object Object],[object Object],Ellipsis

High support – high challenge x o + 50 o = 180 o (coint  ’s, AB//CD ) x o = 180 o  50 o x o = 140 o Solution: … ..because cointerior angles are supplementary in parallel lines, AB and CD . -> (cointerior angles are supplementary, AB // CD .) -> (cointerior angles, AB // CD .) -> (coint.  ’s, AB // CD .) x o + 50 o = 180 o …. Example: Calculate x o , giving reasons. There are no BOS standard abbreviations! 50 o x o • • • • A B C D is parallel to

High support – high challenge ,[object Object],Because opposite angles of a parallelogram are equal.

High support – high challenge ,[object Object],A few rules first: • If you feel like drawing a picture then draw it and make it part of your explanation. • If you feel like writing some mathematics, then write it . • When asked to explain why something is not true, always end with a statement about what is true . Explanations can have just maths, just English or both. The rules just make it easier for students.

High support – high challenge ,[object Object],Example: Explain why a cylinder is not a prism. A cylinder is not a prism _______ it has a ______ base and a ______ surface. Prisms have a ________ base and _________ side faces. because circular curved polygonal rectangular curved surface circular base

High support – high challenge ,[object Object],2 = 2…..yesterday, today and forever! ,[object Object],Past tense is mostly used in: • graphs . • probability • consumer arithmetic • discussion Graphs use past data.

[object Object],[object Object],Mathematical warning

My students can read and respond reasonably well so…. How can I use this talent to improve mathematics?

To improve mathematics ,[object Object]

To improve mathematics ,[object Object],arc size near

To improve mathematics Student’s ‘ draft ’ thinking What is assessed! next reasoning

Literacy demands of mathematics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],information reports.

Cultural interference ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Articles are not so easy 5 4 = ‘5 to the power of 4 ’ Question: Express 625 as a power of 5 . Answer: 4 5 ? 5 4 ? 625 5 ? 625 4 ? 5 0 , 5 1 , 5 2 , 5 3 , 5 4 Here are the powers of 5 Now students must choose one out of many . Example 1:

Articles – not so easy Write true or false: 2 and 3 are factors of 6. : 2 and 3 are the factors of 6. Write a factor of 20. Many technical words in maths have different meanings outside of maths. Click here to return to main slide show.

IEC Conference 2011 - Literacy/Maths/High Challenge-High Support

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IEC Conference 2011 - Literacy/Maths/High Challenge-High Support