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| Math Methodology Instruction Essay: Page 1 | | |
In its Principles to Actions: Ensuring Mathematical Success for All, NCTM (2014) indicated the following research-based mathematics teaching practices, which should be "consistent components of every mathematics lesson":

Beginning with the next line, write a concise summary of the key points of your research. (Do not indent.) Your abstract should contain at least your research topic, research questions, participants, methods, results, data analysis, and conclusions. You may also include possible implications of your research and future work you see connected with your findings. Your abstract should be a single paragraph double-spaced. Your abstract should be between 150 and 250 words.
| Math Methodology Instruction Essay: Page 1 | | |

Effective lessons incorporate best-practice. According to Daniels and Bizar (1998, as cited in Wilcox & Wojnar, 2000), there are six methods that matter in a " best practice classroom." These are integrative units, small group activities, representing to learn through multiple ways of investigating, remembering, and applying information; a classroom workshop teacher-apprentice approach, authentic experiences, and reflective assessment. Further, Mike Schmoker (2006) stated that "the most well-established elements of good instruction [include]: being clear and explicit about what is to be learned and assessed; using assessments to evaluate a lesson's effectiveness and making constructive adjustments on the basis of results; conducting a check for understanding at certain points in a lesson; having kids read for higher-order purposes and write regularly; and clearly explicating and carefully teaching the criteria by which student work will be scored or evaluated" (p. 25). In mathematics classrooms, teachers might tend to ignore writing about the discipline; however, to develop complex knowledge, "students need opportunities to read, reason, investigate, speak, and write about the overarching concepts within that discipline" (McConachie et al., 2006, p. 8).
Indeed, Howard Gardner has stated that multiple intelligences are not learning styles. In Gardner's view, a style or learning style "is a hypothesis of how an individual approaches the range of materials." There are two basic problems. First, "the notion of 'learning styles' is itself not coherent. Those who use this term do not define the criteria for a style, nor where styles come from, how they are recognized/assessed/exploited." Second, "When researchers have tried to identify learning styles, teach consistently with those styles, and examine outcomes, there is not persuasive evidence that the learning style analysis produces more effective outcomes than a 'one size fits all approach.' " Labeling a style (e.g., visual or auditory learner) might actually be unhelpful or inconceived. Putting a label on it does not mean the "style" fits all learning scenarios (Gardner, in Strauss, 2013).
What are the Parts of a Research Paper | Essay Tips

Knowledge: Memorization and recitation fall within the knowledge level. Teachers might rely on a lecture method and assigned readings. They are transmitters of knowledge. Students remain passive and acquire familiarity with the material, take notes, memorize, and study enough so that they can recall information at least long enough to pass tests, which might be multiple choice or true/false. Such tests rely on one-right answer. “Opinions and values are excluded from this type of testing” (p. 162). When writing, students tend to parrot back what the teacher has said. However, the ability to recite information that has been memorized does not mean that students know what they are saying.
NOTE: Memorization does not come easy for learners, but some memorization is involved in mathematics. For example, read by Margaret Groves (2010). She stated, "Quite simply, a lack of fluency in basic math fact recall significantly hinders a child's subsequent progress with problem-solving, algebra and higher-order math concepts. This can have a serious impact on a child's overall self confidence and general academic performance" (para. 1). Get some memorization tips/techniques and learn how to improve your short and long-term memory at .
Visit . Peeragogy is a collection of techniques for collaborative learning and collaborative work. This handbook is a "living-document" created by a world-wide community of editors interested in peer-to-peer learning. The ideas can be applied in classrooms, in research, in business, and more.

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Certificate Course on Research Methodology - Home
APA (American Psychological Association) style is most commonly used to cite sources within the social sciences. This resource, revised according to the 6th edition, second printing of the APA manual, offers examples for the general format of APA research papers, in-text citations, endnotes/footnotes, and the reference page. For more information, please consult the Publication Manual of the American Psychological Association, (6th ed., 2nd printing).
Writing Your Professional Research Summary - …
NCLB mandated that states and districts adopt programs andpolicies supported by scientifically based research. The Every Student Succeeds Act of 2015 recognizes other forms of research in that this law "requires that states and districts use evidence-based interventions to support school improvement" (Dynarski, 2015, para. 1; 114th Congress, 2015). Drawing upon research and an extensive collection of evidence from multiple sources, the Common Core State Standards (2010) were developed to reflect the knowledge and skills that young people need for success in college and careers. Those standards impact teachers in several ways, including to guide them "toward curricula and teaching strategies that will give students a deep understanding of the subject and the skills they need to apply their knowledge" (Common Core State Standards Initiative, ). For many the standards require changes in how mathematics is taught, thus they will influence instructional strategies that educators use. In a standards-basedclassroom four instructional strategies are key:
Writing Your Professional Research Summary
While most OWL resources recommend a longer writing process (start early, revise often, conduct thorough research, etc.), sometimes you just have to write quickly in test situations. However, these exam essays can be no less important pieces of writing than research papers because they can influence final grades for courses, and/or they can mean the difference between getting into an academic program (GED, SAT, GRE). To that end, this resource will help you prepare and write essays for exams.
Dissertation Writing Research Methodology
Your essay should be typed, double-spaced on standard-sized paper (8.5" x 11") with 1" margins on all sides. You should use a clear font that is highly readable. APA recommends using 12 pt. Times New Roman font.
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