{"id":43642,"date":"2010-09-18T14:57:51","date_gmt":"2010-09-18T14:57:51","guid":{"rendered":"http:\/\/mast.thomasjpitts.co.uk\/?p=23"},"modified":"2010-09-18T14:57:51","modified_gmt":"2010-09-18T14:57:51","slug":"self-evaluation-tools-results-understanding-shapegeometry","status":"publish","type":"post","link":"https:\/\/thomasjpitts.co.uk\/wordpress\/2010\/09\/18\/self-evaluation-tools-results-understanding-shapegeometry\/","title":{"rendered":"Self-evaluation Tools Results: Understanding Shape\/Geometry"},"content":{"rendered":"

The NCETM has a series of tools for analysing how confident you feel about various areas of mathematics<\/a>. Part of the MaST programme requires me to complete each area over time. I also have to complete the sections for a range of Key Stages – 1, 2 and 3 – to demonstrate a broad knowledge of the subject.<\/p>\n

Here are my results for the Understanding Shape\/Geometry sections.\u00a0(1 is not confident and 4 is very confident)<\/p>\n

Key Stage 1<\/a> – <\/strong>Understanding Shape<\/span><\/strong><\/p>\n

    \n
  1. How confident are you that you understand the relationship between angle as a measure of turn?<\/li>\n
  2. How confident are you that you can give relevant examples to illustrate the meaning of\u00a0reflection?<\/li>\n
  3. How confident are you that you can give relevant examples to illustrate the meaning of\u00a0line or reflection symmetry<\/a>?<\/li>\n
  4. How confident are you that you know common side, angle and symmetry properties of\u00a0polygons?<\/li>\n
  5. How confident are you that you know common side, angle and symmetry properties of\u00a0triangles?<\/li>\n
  6. How confident are you that you know common side, angle and symmetry properties of\u00a0squares and rectangles?<\/li>\n<\/ol>\n

    I answered 4 for each of these, giving me an outcome of very confident<\/strong>. I chose 4 for each of the answers as, reading through the examples given, I use the techniques described and go deeper too, being a Key Stage 2 teacher.<\/p>\n

    Key Stage 2<\/a> – <\/strong>Understanding Shape<\/span><\/strong><\/p>\n

    \n
      \n
    1. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0congruence<\/a>?<\/li>\n
    2. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0translation?<\/li>\n
    3. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0reflection?<\/li>\n
    4. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0rotation?<\/li>\n
    5. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0Reflective (or line) symmetry?<\/li>\n
    6. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0rotational symmetry<\/a>?<\/li>\n
    7. How confident are you that you can establish through practical activities the side, angle and symmetry properties of\u00a0regular polygons<\/a>?<\/li>\n
    8. How confident are you that you can establish through practical activities the side, angle and symmetry properties of\u00a0equilateral, isosceles<\/a>, scalene and right<\/a>-angled triangles?<\/li>\n
    9. How confident are you that you can establish through practical activities the side, angle and symmetry properties of\u00a0squares, oblongs, parallelograms, rhombuses, kites and trapeziums?<\/li>\n
    10. How confident are you that you can establish through practical activities\u00a0the nets of common 3D solids?<\/li>\n
    11. How confident are you that you understand the terms\u00a0right angle, acute angle<\/a>, obtuse angle, reflex angle<\/a>?<\/li>\n
    12. How confident are you that you can show that\u00a0the sum of the angles in a triangle is 180\u00b0 in two different ways?<\/li>\n<\/ol>\n<\/div>\n

      Again, I answered 4 for each of these questions, giving me an outcome of very confident<\/strong>. I chose 4 because of the ways I have used to teach shape over the years in Years 5 & 6. I use pull up nets to show how the 5 Platonic solids<\/a> are made, regularly discuss the properties of shapes – especially the range of triangles – with my class. One minor concern was the use of ICT in the first 6 questions, but I consider my SMART Notebook slides to be using ICT and I rarely teach a maths lesson without one.<\/p>\n

      Key Stage 3<\/strong><\/a> – <\/strong>Geometry<\/span><\/strong><\/p>\n

        \n
      1. How confident are you that you are aware of a range of visualisation activities to help pupils to appreciate\u00a0properties and transformations of shapes? (3)<\/li>\n
      2. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0translation? (4)<\/li>\n
      3. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0reflection? (4)<\/li>\n
      4. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0rotation? (4)<\/li>\n
      5. How confident are you that you understand through practical activity and the use of ICT the meaning of\u00a0enlargement? (4)<\/li>\n
      6. How confident are you that you know the meanings of\u00a0alternate angles, corresponding angles, supplementary<\/a> angles, complementary angles? (3)<\/li>\n
      7. How confident are you that you can prove that\u00a0the exterior angle of a triangle is equal to the sum of the two interior opposite angles, the sum of the angles in a triangle is 180\u00b0 and the sum of the exterior angles of any polygon is 360\u00b0? (4)<\/li>\n
      8. How confident are you that you can prove that\u00a0the opposite angles of a parallelogram<\/a> are equal? (3)<\/li>\n
      9. How confident are you that you know\u00a0the conditions for congruent triangles and can prove that the base angles of an isosceles triangle<\/a> are equal? (3)<\/li>\n
      10. How confident are you that you know\u00a0how to establish through geometrical reasoning the side, angle and diagonal properties of quadrilaterals? (3)<\/li>\n
      11. How confident are you that you know\u00a0how to execute and prove the standard straight\u2212edge and compass constructions? (3)<\/li>\n
      12. How confident are you that you know\u00a0how to describe simple loci? (2)<\/li>\n
      13. How confident are you that you know how to explain and prove some circle theorems? (3)<\/li>\n
      14. How confident are you that you understand\u00a0Pythagoras\u2019 theorem<\/a> and its application to solving mathematical problems? (4)<\/li>\n
      15. How confident are you that you can explain the conditions\u00a0for similar<\/a> triangles? (4)<\/li>\n<\/ol>\n

        This held some trepidation for me, as I haven’t ever really considered the Key Stage 3 curriculum before now for geometry<\/a> while teaching. My answers are in brackets above and a mainly a mix of 3s and 4s with one 2. This gave me and outcome of confident<\/strong>. The 2 is for the question about simple loci – a choice made because I can’t remember having done any locus work in years! (The locus of a point is its path when it moves according to given rules or conditions. The plural is loci.) I think, having read the examples on the NCETM site, that I could certainly do the work for myself, but would probably struggle to teach it.<\/p>\n

        Where I chose 3, it is often because I felt I fully understood most of the content but there were areas where I may not have been\u00a0able\u00a0to\u00a0give\u00a0examples. In question 6, for instance, I would be fine with\u00a0alternate angles, corresponding angles and\u00a0complementary angles but may confuse supplementary angles.<\/p>\n

        Clearly from this, I need to develop my knowledge of some of the Key Stage 3 geometry material.<\/p>\n

        \"\"<\/div>\n","protected":false},"excerpt":{"rendered":"

        The NCETM has a series of tools for analysing how confident you feel about various areas of mathematics. Part of the MaST programme requires me to complete each area over time. I also have to complete the sections for a range of Key Stages – 1, 2 and 3 – to demonstrate a broad knowledge […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4440],"tags":[244,4483,3709,1677,1678,4519,1909,1910,4556,3551,4576,4583,4584,2595,4588,4606,4607],"class_list":["post-43642","post","type-post","status-publish","format-standard","hentry","category-study-block-1","tag-angle","tag-congruence-geometry","tag-geometry","tag-key-stage-1","tag-key-stage-2","tag-key-stage-3","tag-math","tag-mathematics","tag-ncetm","tag-platonic-solid","tag-pythagorean-theorem","tag-regular-polygon","tag-right-angle","tag-rotational-symmetry","tag-self-evaluation-tools","tag-triangle","tag-understanding-shape","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6OeSW-blU","jetpack-related-posts":[],"builder_content":"","_links":{"self":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/43642","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/comments?post=43642"}],"version-history":[{"count":0,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/43642\/revisions"}],"wp:attachment":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/media?parent=43642"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/categories?post=43642"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/tags?post=43642"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}