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How To Solve Maths Problems by samzyworld(m): 11:22am On Jul 04, 2014 |
Although math problems may be solved in different ways, a general method to visualizing, approaching and solving math problems is outlined in the steps found here. www.samzyworld.com Determine what kind of math you are having difficulty with . Is it multiplying fractions? Solving quadratic equations? Knowing where you need more knowledge is key for focusing your studying. Review. Most math textbooks have a lesson to read, covering new concepts directly before each problem set. If you are having trouble with the newest formula or method, that is where to start. Seek help if necessary. Asking a teacher, parent or mathematically gifted friend for help is often the best way to receive direct guidance and have your questions quickly answered. There are many websites and youtube videos that offer free tutorials or lessons in basic math concepts. Consider visiting one to practice or quickly reference a formula. Begin to solve the problem. Now that you've reviewed, it's time to apply your skills. Determine what the problem is asking you to solve. There is a big difference between being asked to find the cosine and the sine. Read the directions carefully. Guess and check, "Hmm, I guess it is ___, so then it would be ___. I'll see whether that works." Use objects, manipulatives, to model the problem Use logical reasoning: "If this is ____, then that would give me ____ ..." -- or the negative version, "If not this ____, then it's not that ___ _" ... Look for a pattern -- how series or a sequence changes from one member (element) of a list, back to the previous, and also forward to the next member. Do a process -- act it out -- i.e.: experiment as in physical or real world problems. Work backward -- reverse the processes of a possible solution to see whether it may connect Classify the kind of problem, process, or pattern it fits. What do I not know or have (Ask this question: "Can I find an intermediate step toward solving this, for the situation?" |
Re: How To Solve Maths Problems by samzyworld(m): 11:24am On Jul 04, 2014 |
Make multiple representations ( mathematical models/math-models), approaching your problem; here are examples of several forms of representation : Verbal. Write your own description of the problem (in your own words). Gather data -- using tally marks to keep the count x,y chart/table. Often a table can be made of data in columns (x,y) and rows (for example: money made on sales of candy each week). Drawing or diagramming. For example: draw the described physical problem situation (possibly involving two dimensional sketch, a geometric figure, or perhaps trigonometry). Mapping (if that applies). Graphing. Called models, many types of relations and process dynamics may be graphed in mathematical, physical, biological, social and information systems data. Graphs may be of numerous types, but a basic is to graph paired information ( pairwise relations), such as growth or decay over a period of time: Bar graph; Pictograph; Cartesian points (x,y) graphed in the Cartesian plane. Line graph joining the results of data (such as growth) over time; Time-line -- a special graph used for [historical] information over time; A circle graph/pie chart = total 1 whole or 100% (a kind of "pizza math" Scatter plot, point graph of data (one example is a distribution of data pairs); Trend line/simple linear regression (the central tendency compare to the median or average) -- a linear representation of paired data, shows the "average" line, in a data array/distribution; Note: A multivariate linear regression has two are more variables (for example, three variables: (1st variable) measure the growth of plant seedlings, (2nd variable) for each of two experimental temperatures, (3rd variable) over the same time period(s)); Conjecture/structure a function -- another kind of model perhaps, y = f(x) = ______ (using a mathematics, physics or geometric equation or formula) may be constructed to fit the problem parameters (facets); Check your data over the domain of x and the range of y (decide parameters); ask: "Is it linear or non-linear?" Graph your proposed function. 6 Double-check your work. Did you drop any decimal places or the decimal point? Accidentally write the numerator as your denominator? Now is the time to find out! 7 Check your answer for reasonableness, accuracy and repeatability . If your answer doesn't match the correct one, go back and check your work for where you may have made a mistake. |
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