Middle Cities
Education Association
Creating Opportunities for the Urban
Learner
Math Professional Development Best Practice Continuum
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Mathematics Continuum – Behavioral Indicators DRAFT 8/16/99
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CONTENT |
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Alignment to standards |
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I use a credible text and assume that the mathematics standards are covered. |
I studied the standards and benchmarks and have a sense of what units to cover. |
I use the mathematics standards and benchmarks to plan instruction using multiple sources. |
I have participated with our staff in mapping the curriculum and comparing what we teach to the standards/benchmarks. |
I use the result of our mapping and the gap analysis to address the needs of the students and plan units. |
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Organization of Curriculum |
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I use the text and follow chapter topics and begin the year with remediation of previous levels. |
I use the text for lessons, but also supplement with materials that teach topics in another way. |
I study the curriculum in relation to the standards and benchmarks of the district, state and NCTM. I use these standards to plan appropriate units. |
I use or develop lessons that integrate the areas of mathematics and revisit concepts and skills through those ideas. |
I develop and/or use units that focus on big ideas that are key to mathematical power – pattern, relationships, problem-solving. |
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Integrated Curriculum |
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I teach mathematics separate from other subject areas. |
I use current events to show students how mathematics is part of everyday life. |
I use the state standards and benchmarks in multiple disciplines to combine mathematics curriculum with other subjects. |
I work with a team of educators to develop problem situations where mathematics is taught within investigations that require work across disciplines. |
I work with educators and business and community representatives to develop problem situations that relate to the world beyond school. |
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INSTRUCTION |
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Higher Order Thinking |
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I use a lecture approach to deliver the lessons and then allow students to work on assigned problems. |
I ask students questions that promote exploration, discussion, and questioning. |
I use student questions about problems and situations involving math to begin investigations. |
I encourage students to describe and explain multiple methods to solve a problem. |
I create situations in which students engage in hypothesizing, analyzing, synthesizing, evaluating to solve problems. |
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Connections and Relationships |
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I teach so that students work on specific discrete skills. |
I teach so that students learn the best methods for knowing when and how to use a variety of computational techniques. |
I organize instruction so that students build on their own understandings and knowledge. |
I create opportunities for students to identify connections and relationships among concepts and applications of general principles to several areas of mathematical reasoning. |
I orchestrate activities where students can create their own connections and relationships within math and into everyday experiences. |
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Communication |
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I teach so that students learn to follow procedures which conclude in a correct answer. |
I add opportunities for students to work on open ended problems and require students develop questions about the problem and techniques to use. |
I have students write about how they solved their problems and what techniques they used. |
I have students work in groups to solve problems including processes of collection data, developing an analysis and reporting data and conclusions. |
I create situations in which students must communicate with a variety of audiences about their problem solving. |
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Authentic Context |
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I emphasize math as a unique, discrete field without relation to other fields. |
I imbed mathematics in problem solving involving issues and processes used in other fields. |
I create discussion opportunities to allow students to investigate the permeation of society with mathematical structures and processes. |
I use real life school situations as the basis for problem solving and use of mathematical techniques. |
I connect students with community members to generate problems that require mathematical power and reasoning. |
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Diverse Learners |
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I believe that students come to math with a variety of developmental, environmental, and success experiences. |
I ensure that a variety of ethnic, racial, gender and other contributions to the field of mathematics are reflected in lessons. |
I use student prior knowledge to find out where to start to design instruction. |
I use a variety of teaching techniques to respond to student learning styles and intelligences. |
I allow students to use a variety of methods for solving problems and presenting solutions. |
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Technology Integration |
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I know that technologies are important in real life mathematical work and convey that to students with examples. |
I use appropriate technologies to demonstrate mathematical techniques. |
I integrate all available technologies into classroom investigations. |
I encourage students to determine appropriate technologies for the work to be done. |
I use community-based resources to provide students with opportunities for investigating new technologies. |
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ASSESSMENT |
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Informing Instruction |
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I use end of chapter and unit tests and enter student achievement level for each interval. |
I use assessments to design the next learning experiences of students. |
I disaggregate data by subgroup (i.e. gender) and review my results to inform next steps in instruction. |
I have students join me in developing criteria of quality for use on projects. |
I have students discuss, summarize, and communicate their evaluation of their work on selected projects. |
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Multiple Measures |
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I use assessments from the textbook to measure student achievement. |
I have experimented with one or more methods of assessing student understanding. |
I develop or use assessments that are in paper/pencil, selected response, constructed response, performance, and personal communication formats for every major unit. |
I allow students to create some assessments for their learning. |
I have students create a portfolio of work for analyzing and communicating their achievement. |
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Validity |
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I use assessments from the textbook and assume the validity. |
I use assessments that mirror the state assessments that students must take. |
I work with a team of staff to create meaningful assessments and have our product reviewed for content validity. |
I use assessments created by research teams that match standards, benchmarks and expectations for performance for students. |
I participate with a team of staff to score student work using range finding and anchor papers that reflect rubric that students and staff are aware of through instruction. |
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PROGRAM EVALUATION |
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Articulation |
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I focus on goals from my textbooks and on benchmarks for my course/grade level, if available. |
I compare my textbooks and materials to the standards and benchmarks of our district and the state and adjust what I teach. This may require supplementing with materials that I develop. |
I work with my grade colleagues, teaching team, or department to assure that we are providing instruction in to meet the necessary standards and benchmarks and together we supple materials needed. |
I work with my school to map curriculum and to develop benchmarks for each course/grade level and follow our map, according to the match with the local and state standards and benchmarks. We work closely with district staff to assure alignment. |
I participate in meetings periodically throughout the year with staff from grades/courses similar to mine and with total staff across grade levels to discuss progress on benchmarks and student success at mastery. |
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Decision-making Based on Student and Program Data |
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I carry out programs that are sponsored by the district, using the materials provided. Decisions for instruction are made by following the texts or guidelines. |
I look at past data collected on each students from the previous year and group students according to those data. I work with other staff for placement. |
I have assessments that I feel are authentic for the benchmarks and make decisions for instruction from student data. |
I analyze MEAP data, districtwide assessment and national test and, working with other staff, plan the program for instruction that will meet student needs. |
I work with a study team related to a school improvement goals and use or develop new assessments to use to track student success related to instructional strategies and materials used. |
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Reporting Success |
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I use a traditional report card and issue interim reports if problems arise. |
I am working with school and district staf to develop a new way of more effectively reporting student success that relates to standards, benchmarks and school improvement goals. |
I participate with staff to develop a comprehensive report to parents and community related to school improvement goals. |
I participate in a study team and do action research which we report to all stakeholders. |
I provide for and expect students to collect evidence to support their meeting standards and benchmarks, and to be able to report their success and needs. |
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PROFESSIONAL DEVELOPMENT |
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Content |
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I attend staff development in my subject area. |
I attend staff development that is designed and related to address the standards and benchmarks of the district and state. |
I choose staff development that has data that shows it is effective in teaching appropriate content for students like mine. |
I choose staff development that is research based and that has direct relation to our school improvement goals and my students needs. |
I choose staff development that is research based, related to my students needs, standards based and is decided on by my staff team as relevant to our needs. |
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Context |
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I attend professional development sessions that I think sound appropriate, that others have liked, and that I have read about in journals. |
I analyze my instructional strengths and weaknesses and then choose staff development that takes me to a higher level in a particular research based methodology. |
I attend staff development sessions that are based on work that our staff has designated will serve our school improvement goals. |
I attend designated staff development and then mentor another teacher or teachers in the methodologies. |
I participate in a team that studies and reports the implementation and efficacy of staff development that we have chosen to meet student needs. |
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Process |
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I attend popular staff development sessions with no prior discussion with the presenter related to my individual needs. |
I attend staff development that immerses me in quality content and proven strategies. |
I attend staff development that I know provides experiences in higher order thinking, substantive discussion, integrated knowledge (including technologies), and connection to the world beyond the workshop. |
I attend staff development which relates to effective adult learning needs, such as job-embedded case studies, practicing how I think in problem solving and in how students think in problem solving. |
I attend quality staff development and then am supported back at my school with time for a study team to help each other implement and gather data on our own student learning using the recommended strategies. |
Developed by Judy Schaftenaar and Charles
Allan
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