• Intervention and special assistance– Early intervention is crucial for ensuring future success in mathematics.For all students, success in mathematics in the early years is a predictorof future academic success. Therefore, effective schools put supports inplace for students struggling with mathematics in the primary grades.Principals and professional learning teams determine and establish avariety of appropriate assistance systems (e.g., small-group support,one-on-one intervention) for their students. Teachers monitor studentsuccess and conduct regular assessments, knowing that these practicesare essential to ensuring steady student progress.• Home, school, and community partnerships– The home and the community play important roles in supportingmathematics instruction in the school.– Communication with the home can contribute greatly to studentsuccess.“Students with specialneeds often learnmathematics throughregular class activities,the interventions ofresource teachers andvarious specialists, andpractice with parents.Cooperation among allthese partners allowsthe teacher to bettermeet student needs.”(Expert Panel on Literacy andNumeracy Instruction forStudents With Special EducationNeeds, 2005, p. 76)Regular communication among school, home, and community, with thestudent as the focus, creates important partnerships that support and help sustainimprovement. A variety of forms of communication are necessary. Teacherscan discuss effective mathematics strategies with parents to help them betterunderstand how their children learn and to give them new ways to encourageand help their children at home. Parents who understand what is being taught inthe classroom today, and how it is being taught, are in a better position to assist intheir children’s growth and learning. In addition, newsletters sent home by theschool can outline opportunities for parents to help their children learn math.School-community partnerships in support of mathematics instruction can alsoinvolve volunteers, whose assistance can be both helpful and inspiring to youngmath students.Improvement PlanningSetting measurable targets for achievement has been a central feature of successfulefforts to improve student achievement on a wide scale in Canada, the United States,England, and Australia. Target setting engages teachers, administrators, school boards,and members of the broader school community as active and vital participants in theschool improvement planning process.Ontario has established a provincial standard for achievement in mathematics for allstudents in Grades 1 to 6, regardless of their background, school, or community –namely, to demonstrate knowledge and skills in mathematics at level 3 (see the entry“achievement level” in the glossary) or higher in every grade. Effective teachers know8 A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6 – Volume One
that different children need different kinds of help to achieve the provincial standard.They set challenging but realistic goals in partnership with students and their parentsand carefully plan their instruction to meet those goals.The improvement planning process begins when teachers and administrators gatherand analyse relevant information about students in their schools. This analysis enablesteachers and the school to identify areas in which improvement is needed and toestablish meaningful, specific, and realistic goals for future achievement.The setting of realistic goals depends on the following:• effective information management – By gathering and analysing student assessmentdata and other relevant information (e.g., observational notes, anecdotalrecords), teachers and administrators ensure that their improvement strategies arebased on a correct understanding of students’ levels of achievement. Analysis ofinformation and reliable assessment data also helps them identify how classroominstruction and assessment practices have affected student performance.• teamwork across grades – Laying the groundwork for improving achievementin mathematics in the primary and junior grades has to begin in Kindergarten andcontinue through Grade 6. Schools are more likely to achieve and sustain a highlevel of achievement if they promote cross-grade collaboration and a collegialapproach.The main source of information about student achievement is classroom-basedassessment and evaluation. Teachers base their assessment and evaluation of studentwork on the achievement chart published in the Ministry of Education’s curriculumpolicy document The Ontario Curriculum, Grades 1–8: Mathematics, 2005 or on theexpectations outlined in the curriculum policy document The Kindergarten Program,2006, as appropriate. Improvement planning is always driven by the comparisonbetween students’ achievement and the expectations of the Ontario curriculum,combined with the estimated impact of instructional strategies. However, teachers canalso put classroom-based data into a broader context and apply it to their improvementplanning by:• sharing classroom assessment results and other pertinent information across gradelevels, within the primary and/or junior divisions and within the school;• using board-wide assessment results, when available, to analyse their students’progress in relation to that of students in other board schools that have similar –or very different – characteristics;• learning to understand and interpret the assessment information gathered bythe EQAO, which tracks province-wide trends and patterns of improvement.This guide contains a chapter on assessment strategies for classroom teachers(see Chapter 8: Assessment and Evaluation, in Volume Four).Achieving and Sustaining Improvement 9
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Appendix 3-1: Long-Range Planning T
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Appendix 3-3: Unit Planning Templat
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4.InstructionalApproachesChapter Co
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these terms are not the same in rea
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• asking questions that help stud
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• explaining their own mathematic
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The students’ activities during i
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Say: “Put 4 red counters in the f
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• You must use all the rods to ma
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Kilpatrick, J., & Swafford, J. (Eds
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Gavin, M.K., Belkin, L.P., Spinelli
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Tank, B., & Zolli, L. (2001). Teach
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Leadership ResourcesBurns, M. (Ed.)
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GlossaryNote: Words and phrases pri
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(a benchmark) and judging that a la
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cooperative learning structure. A p
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Step 2 - Adjust the estimate to ref
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materials. Learning activities that
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number sense. The ability to interp
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Research indicates that procedural
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subtrahend. In a subtraction questi
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ReferencesAdams, L., Waters, J., Ch
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Ginsberg, H.P., Inoue, N., & Seo, K
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Payne, J.N. (Ed.). (1990). Mathemat