Mathematics

Use coding to analyze data (journal entries, etc.) for your autoethnography. Submit four pages of journal entries, coded, with a code book of at least 1 page with codes, code descriptions, an explanation of themes or categories, and how they relate.

“write a page on how you can use trigonometric in the real world”

Analyzing Descriptive Statistics As a practice scholar, you are searching for evidence to translate into practice. In your review of the evidence, you locate a quantitative descriptive research study as possible evidence to support a practice change. You notice the sample of this study includes 200 participants and is not normally distributed. Reflect upon this scenario to address the following. •    What statistical procedure is needed to determine an effective sample size to make a reasonable conclusion? Explain your rationale. •    Reading through the study, you observe that the researcher used a chi-square analysis to analyze nominal and ordinal data. Is this the appropriate level of statistical analysis to answer the research question? Explain your rationale. •    Reading further, the researcher reports that the p-level led her to conclude that the null hypothesis was rejected. In your critique of the study, you determine that the null hypothesis is true. Do these findings impact your decision about whether to use this evidence to inform practice change? Why or why not?

The website Mathematically Gifted and Black, highlights the contributions of Black Scholars in the Mathematical Sciences. LINK :https://mathematicallygiftedandblack.com/ On the website you can find information about many accomplished black mathematicians. Scroll To the profiles click on Circle of Excellence at the top of the website. Please read as MANY of the profiles as possible. For this assignment you should read at least the following profiles: Aris Benjamin Winger https://mathematicallygiftedandblack.com/honorees/aris-benjamin-winger/ Emma Benn https://mathematicallygiftedandblack.com/honorees/emma-benn/ Dawn A. Lott https://mathematicallygiftedandblack.com/honorees/dawn-a-lott/ Raymond T. Perkins III https://mathematicallygiftedandblack.com/honorees/raymond-t-perkins-iii/ Read at least one other profile (other than the mentioned above). Then answer the following questions. 1) List the names of the other mathematicians whose profiles you read. 2) Write a paragraph or two about what you learned from reading these profiles. 3) If I were going to give a version of this assignment to a future class which profiles would you suggest I ask the students to read? (This could include profiles mentioned and ones that I did not mention.) For each profile you suggest write a few sentences about why you would include this profile.

Writing in your own words, address ALL of the following instructions. [Part A.] On p. 49 of our Sorensen text, A Brief History of the Paradox, author Sorensen presents three “paradoxes of motion” posed by Zeno in Ancient Greek philosophy. These concern respectively: a person walking across a room; Achilles catching the Tortoise; and an arrow at rest while moving toward an archery target. Choose one of these three paradoxes: exactly as Sorensen phrases that proposed paradox. Explain how that paradox develops, expounding on the Sorensen formulation. How does this Zeno line of argument lead into a strict paradox (of form “P and not-P”)? (You’ll be filling in Sorensen’s intuitive presentation so as to lay out Zeno’s line of argument in your own best formulation as you understand Sorensen’s phrasing.) [Part B.] What makes this line of argument a paradox? Briefly explain what constitutes a “paradox”, and show how in your exposition Zeno’s line of argument leads to a paradox. Note that we observe the relevant type of motion in everyday life. In your exposition, where does a notion of “infinity” arise? How does that feature arise as alleged of a finite movement in infinitely many parts? On pp. 323-324 of the Sorensen text, author Sorensen outlines a theory of numbers developed by mathematician Georg Cantor that distinguishes between “natural numbers” and “real numbers”. Cantor proved that the size (or “cardinality”) of the set of real numbers is greater than the size of the set of natural numbers. Today’s mathematicians hold that Zeno’s paradoxes can be resolved if we assume Cantor’s theory of “transfinite” numbers. Explain, briefly, how we can use Cantor’s transfinite number theory to resolve, arguably, the Zeno paradox of motion you have explained. (The aim is not to reproduce Cantor’s mathematics, but to show how the given Zeno paradox may be resolved following Cantor: Where did Zeno go wrong?) [Part C.] On pp. 184-185 of the Sorensen text, author Sorensen discusses what has come to be called “McTaggart’s paradox of time”. Explain McTaggart’s distinction between the A series of time and the B series of time. Why are these two notions of time, allegedly, inconsistent with each other, yielding a paradox of time?  Returning to your chosen Zeno paradox of motion, which of these notions of time do you think is assumed in formulating the paradox? Would the paradox equally arise if you assumed the other notion of time? (The aim here is simply to think in terms respectively of A-series time and B-series time, and see if which you choose makes a difference to your Zeno paradox.) SOURCES: Use ONLY the Sorensen text, the Professor’s Notes on time, and the guest lecture by Stella Moon on the Cantor mathematics as applied to the three Zeno paradoxes. (The aim is to think in these terms as you address the Zeno style paradoxes. There is a huge amount of literature on all these themes, but you may get confused or even misled by reading around, and the aim here is NOT a “report” but an exercise in your own thinking carefully about the issues raised in our Lectures and Discussion sections in relation to just these sources.)

Reflect on “Chocolate Algebra” from this week’s reading assignment.  Which of the identified qualities of best practice in teaching mathematics are represented in this lesson?  How can you apply elements of this lesson in your teaching at your grade level?

upload a Word document with at least five pages of your transcript and your initial coding in the margin (using either “Insert Comments” or a table with transcript text in one column and your codes in the other). You will also include one page of your code tree and a paragraph explaining the hierarchy of your codes. Then you will include a 2 to 3 page description of your coding process including what types of codes you used, how you categorized codes to organize your code tree (aka code book) what connections you saw among categories, and the difficulties you found with the process.

This week, you will read the article written by Sorokowski et al. (2015), located under your weekly resources. Then, you will write a paper that includes the following: A description of the purpose of the research, the hypotheses, and the methods used to test the hypotheses. A description of the variables that were measured in the research and the level of measurement for each variable (i.e., nominal, ordinal, interval, or ratio). A description of the sample used in the research. Your description should include a discussion regarding the diversity (e.g., age, sex, race, etc.) of the sample. For example, was the sample representative of a particular population or was it simply a convenience sample? A discussion to determine if the ethical guidelines were followed in the recruitment and testing of participants. A summary of the results and conclusions. A description of the measures of central tendency (i.e., mean, median, or mode) and variability (e.g., standard deviation) reported by the authors. This should include specific examples of how central tendency and variability were reported in the article; you should not include general definitions for these terms. Length: 2-3 pages Your paper should demonstrate thoughtful consideration of the ideas and concepts presented in the course by providing new thoughts and insights relating directly to this topic. Your response should reflect scholarly writing and current APA standards.

The probability, the measures of central tendency and Six sigma applications

Competencies In this project, you will demonstrate your mastery of the following competencies: Apply statistical techniques to address research problems Perform regression analysis to address an authentic problem Overview The purpose of this project is to have you complete all of the steps of a real-world linear regression research project starting with developing a research question, then completing a comprehensive statistical analysis, and ending with summarizing your research conclusions. Scenario You have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided. Directions Using the Project One Template , generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis. Note: Present your data in a clearly labeled table and using clearly labeled graphs. Specifically, include the following in your report: Introduction Describe the report: Give a brief description of the purpose of your report. Define the question your report is trying to answer. Explain when using linear regression is most appropriate. When using linear regression, what would you expect the scatterplot to look like? Explain the difference between response and predictor variables in a linear regression to justify the selection of variables. Data Collection Sampling the data: Select a random sample of 50 counties. Identify your response and predictor variables. Scatterplot: Create a scatterplot of your response and predictor variables to ensure they are appropriate for developing a linear model. Data Analysis Histogram: For your two variables, create histograms. Summary statistics: For your two variables, create a table to show the mean, median, and standard deviation. Interpret the graphs and statistics: Based on your graphs and sample statistics, interpret the center, spread, shape, and any unusual characteristic (outliers, gaps, etc.) for the two variables. Compare and contrast the shape, center, spread, and any unusual characteristic for your sample of house sales with the national population. Is your sample representative of national housing market sales? Develop Your Regression Model Scatterplot: Provide a graph of the scatterplot of the data with a line of best fit. Explain if a regression model is appropriate to develop based on your scatterplot. Discuss associations: Based on the scatterplot, discuss the association (direction, strength, form) in the context of your model. Identify any possible outliers or influential points and discuss their effect on the correlation. Discuss keeping or removing outlier data points and what impact your decision would have on your model. Find r: Find the correlation coefficient (r). Explain how the r value you calculated supports what you noticed in your scatterplot. Determine the Line of Best Fit. Clearly define your variables. Find and interpret the regression equation. Assess the strength of the model. Regression equation: Write the regression equation (i.e., line of best fit) and clearly define your variables. Interpret regression equation: Interpret the slope and intercept in context. Strength of the equation: Provide and interpret R-squared. Determine the strength of the linear regression equation you developed. Use regression equation to make predictions: Use your regression equation to predict how much you should list your home for based on the square footage of your home. Conclusions Summarize findings: In one paragraph, summarize your findings in clear and concise plain language for the CEO to understand. Summarize your results. Did you see the results you expected, or was anything different from your expectations or experiences? What changes could support different results, or help to solve a different problem? Provide at least one question that would be interesting for follow-up research. What to Submit To complete this project, you must submit the following: Use the template included in files to structure your report, and send the finished version as a Word document. Supporting Materials in Files. The following resources may help support your work on the project: Document: National Statistics and Graphs Use this data for input in your project report. Spreadsheet: Real Estate County Data Use this data for input in your project report.