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Multiple intelligences (MI) and learning styles (LS) are not interchangeable terms. According to Barbara Prashnig (2005), "LS can be defined as the way human beings prefer to concentrate on, store, and remember new and/or difficult information. MI is a theoretical framework for defining/understanding/assessing/developing people's different intelligence factors" (p. 8). Consider LS as "explaining information 'INPUT' capabilities" and MI "more at the 'OUTPUT' function of information intake, knowledge, skills, and 'talent'--mathematical, musical, linguistic" and so on (p. 9).

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Analysis: At this level, application is taken a step further. Students must be able to take a situation apart, diagnose its pieces, and decide for themselves what tools (e.g., graph, calculation, formula, etc.) to apply to solve the problem at hand. Rather than just understanding and applying individual concepts, students understand the relationship among concepts. Case studies in business, for example, fit this level. The level of difficulty can be controlled for novices to experts by the number of issues presented in the cases requiring analysis. Likewise, this process to control difficulty can be used for any mathematics problem-solving scenario based on level of expertise of learners. For example, at elementary levels, students are introduced to analysis when a few extraneous facts are included in a problem, which are not needed to solve it. At an analysis level, students are able to appreciate that some problems do not have a unique solution and there is more than one way to defend a position or solution method, as in a case study.

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The importance of addressing these four dimensions was made very clear in a recent query I had from an individual [let's call him Mac]seeking help for a learner in the 5th grade who was struggling to multiply decimal numbers. The learner had incorrectly calculated: 0.032 * 0.16 =0.0512. But why? Apparently the learner was taught an algorithm, but used it incorrectly. Let's examine the problem that arises in understanding if teaching is done only procedurally.

From an instructional styles perspective, Silver, Strong, and Perini (2007) noted that teachers who use mastery strategies focus on increasing students' abilities to remember and summarize. "They motivate by providing a clear sequence, speedy feedback, and a strong sense of expanding competence and measurable success." When focusing on interpersonal strategies, teachers use "teams, partnerships, and coaching" to help students better relate to the curriculum and each other. Understanding strategies help students to reason and use evidence and logic. Teachers "motivate by arousing curiosity using mysteries, problems, clues, and opportunities to analyze and debate." Self-expressive strategies highlight students' imagination and creativity. Teachers employ "imagery, metaphor, pattern, and what ifs to motivate students' drive toward individuality and originality." Finally, it's possible to use all four styles at the same time to achieve a balanced approach to learning (sec: Part One: Introduction, Figure B).

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Some might not appreciate the true essence of cooperative learning, a feature employed in differentiating instruction. Learners are responsible for not just their own learning, but the learning of others. Shared learning leads to success for all, as each member of a learning group has a specific role to play in reaching a common goal. Successful groups include positive interdependence--if one fails, the entire group is affected. There is both individual and group accountability; although some work might be completed individually, some must be accomplished by group interactions. Typicalinclude think-pair-share, the three-step interview, the jigsaw, and numbered heads. might include focused listing to brainstorm or examine concepts and descriptions, structured problem solving, one-minute papers, paired annotations, guided reciprocal peer questioning, and send-a-problem.

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Theroux (2004) addressed four ways to differentiate instruction: content (requires pre-testing to determine the depth and complexity of the knowledge base that learners will explore), process (leads to a variety of activities and strategies to help students gain knowledge), product (complexity varies in ways for assessing learning), and manipulating the environment or accommodating learning styles. Fairness is a key concept to emphasize with learners, who will recognize that not everyone will work on the same thing at the same time. They need to appreciate that not everyone has the same needs. Likewise, Hall, Strangman, and Meyer (2003) presented a graphic organizer within their work, which they called the Learning Cycle and Decision Factors Used in Planning and Implementing Differentiated Instruction and also provided a number of links to learn more about this topic. ASCD has multiple.

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Evaluation: Teachers evaluate student work all the time, particularly exams and homework. The difficulty in evaluation arises when judging multiple perspectives and varied problem-solving approaches, as one must be thoroughly familiar with content. At this level, students might be asked to problem-solve via debate, for example. At the evaluation level, one is able “to judge the work of others at any level of learning with regard to its accuracy, completeness, logic, and contribution” (White, 2007, p. 161). Rubrics help teachers to evaluate work, particularly for that involving application, analysis and synthesis.

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The process of differentiation is challenging for educators, as it requires developing skills to teach in a flexible manner that responds to the unique needs of learners. Often total lessons or the pace of individual lessons need to be adjusted "on-the-fly." Teacher-led group instruction is only one model of instruction. So, teachers also need to know about additional resources beyond what's in the textbook or available in print format that can be used to help learners. For example, students can also learn from each other in collaborative groups, or from virtual instructors in online settings, or by working alone using software or apps. They can get different perspectives on a topic from viewing podcasts.

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