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1. Elements of a successful IB Internal Assessment. Basic elements of a good Math Studies Project or Math SL/HL Portfolio piece: · Correct answers throughout. · All questions answered in a logical order. · Audience is the teacher. · Identify and address the principal goal of the assignment. · Written explanations of difficult or less-obvious steps in work. · Word-processed including use of technology for graphs and equations. Elements of superior work: · Attention to detail. Ø Consistent significant figures or decimal place rounding.
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Use of proper notation such as “ Ø Avoid calculator notation such as 4*5, x^2, or 2.3E4. Ø Graphs are clear with logical scales and labeled axes. · Work stands alone. Ø Audience is another student of the same level. Ø Reader doesn’t have to refer to the assignment sheet. Ø Reads smoothly and effortlessly. Ø Answers are not numbered unless required. · Single word-processed document Ø Integrate an equation writing program, spreadsheets, graphing program, etc. Ø Comment on everything included. Ø Explain steps each time a new mathematical process is used. Ø Avoid repetition of processes already explained. Ø Graphs, charts, etc. appear on the same page where they are explained. · Student goes beyond the assignment with insight and sophistication. Ø Identify and address the hidden goals of the assignment. Ø Try to get into the mind of the writer of the assignment. Ø Most good assignments leave some space for the top students to explore. · Student uses a variety of mathematical approaches. Ø A good assignment will require the use of many kinds of math. Ø A good question will often have several possible approaches for the solution. · All math used is relevant to the task. Ø No fluff or space-fillers. 2. Tips to the students. · Work through all problems with pencil and calculator before writing it up. Ø Gives an overall feel for the project so that that student can start to address the main goal, and even insights, right from the start. · Write a brief introduction rather than jumping right in to the first question. Ø Sets a tone of readability. · Math SL/HL students can pretend that they are writing a chapter in a textbook. Ø Encourages students to fully explain each step, remembering that their audience is another student from their course of average ability. Ø Students can have fun with creative formatting. Ø Take pride in the look and feel of their work. · Math Studies students can approach the IA Project as they would a science lab. Ø Write a hypothesis. Ø Collect data. Ø Analyze data. Ø Draw conclusions. Ø Discuss possible errors or improvements. 3. Common problems. · Solutions to individual problems are cut in half by the page break. Ø It is ok to leave space on the bottom of a page. Ø Use the “Insert Page-Break” feature of most word-processing programs when a new problem is started. (If there is not enough space on the current page.) · Proof for comments like “see the graph below” when the graph was accidentally bumped to the next page during editing. · Pages of graphs or charts with comments and explanations at end. Ø Full-page graphs should be avoided if possible. Ø Include small (but clear) graphs with an explanation on the same page. Ø Use features like “text-wrapping” to make graphs or charts an integrated part of the work. Ø If a graph must take up a full page, include a full discussion of it on the next page. · Pages of raw data in the main body of text. Ø Raw data should be organized as concisely as possible and included in the appendix. Ø The main body should only include the compiled data used in the relevant calculation. · Frequent reference to appendix. Ø Cuts the flow of the work. Ø If what is in the appendix is very important, move it to the body. · Use of Microsoft Excel for graphing. Ø Excel graphs are generally not of good mathematical quality. Ø Makes good pie charts and bar graphs, but these are not sophisticated analysis tools. Ø Scatter plots are ok, but look very amateurish. Ø Histograms are very difficult and require a plug-in. Ø Search for better graphs programs online if the school doesn’t provide them. · Over-researching. Ø IB Math Internal Assessments are not research projects. Ø IB is looking for student work, and it is obvious when it is not. 4. Grading. · Read paper from start to finish before assigning grades. Ø Detail is important. Ø Overall feel is important. · Make comments or corrections in the text. Ø Comments help the IB moderator to understand how you have assigned marks. · Rubric (sample) Ø Write a rubric that fits the nature of the assignment. Ø IB has two rubrics which could be used for students at many levels. Ø Math Studies. (Open-ended project.) Ø Math SL/HL. (Answering an assigned problem.) Ø ECA Mathematics Rubric integrates both on a 7-point grading scale.
All of the above information was prepared by Dan Davis
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