Chapter 11
Download
1 / 16

Chapter 11 - PowerPoint PPT Presentation


  • 43 Views
  • Uploaded on

Chapter 11. Adrienne, Darrin & Katie. Gathering Data. There should be a purpose to collecting data  To answer questions Add information to our world Compare things or groups The data being collected should be of interest and meaning to the collectors

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Chapter 11' - merrill-salas


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Chapter 11

Chapter 11

Adrienne, Darrin & Katie


Gathering data
Gathering Data

  • There should be a purpose to collecting data 

    • To answer questions

    • Add information to our world

    • Compare things or groups

  • The data being collected should be of interest and meaning to the collectors

  • Data can be classified or sorted in different ways

  • Data is gathered from a sample of the population 


How to gather data
How to Gather Data

  • Pose questions that have meaning to the students

    • Favorites

    • Numbers

    • Measures

  • What are some questions you can come up with that would be good data gathering questions?

  • Involve the students personally, as it is a great way for the class to get to know each other better and for the students to feel a sense of individuality

  • Integrate the community into your data collection


How to gather data cont d
How to Gather Data cont'd

  • This is a great way to involve cross-curricular materials with science and even social studies

    • Do you have any ideas of how you can do this in your classroom?

  • Involve the students as much as possible when deciding on the data to be gathered and the questions to be asked

  • When there is an abundance of possible answers try and limit the amount so analyzing and graphing the data will be more valuable


What is the purpose for graphs
What is the purpose for graphs?

A graph clearly shows you the data.

In class teachers should have the students create their own graphs that help them see the information.

Informal approach: When the  students collect their own data and create the graphs the data is more meaningful for them.

*Just don't let students get caught in the details of the graph too much.


Most important part of constructing a graph
Most Important part of constructing a graph?

  • The discussion that comes from the graph is the most important part.

    • Factual

    • Inferences 

  • Have the students interact with different graphs in case they struggle with a certain type and they can see how the information is conveyed differently


Cluster graphs
Cluster graphs

  • Here you classify items, or sort items into different categories. 

  • This is more of a table than a graph

  • Why is it good for kids to learn Cluster graphs/tables/charts?

    http://jmathpage.com/JIMSStatisticspage.html (simple graphs)


Bar graphs and pictographs
Bar Graphs and Pictographs

  • Bar graph is one of the 1st ways students learn to graph data. Why do you think that is?

  • There needs to be countable parts like squares or objects, or tallies.

    http://nlvm.usu.edu/en/nav/frames_asid_190_g_1_t_1.html

  • Different types of Bar graphs: 

        1) Real graph: real objects

         2)Pictograph:

        K-3 http://www.mhschool.com/math/2003/student/


Continuous data graphs
Continuous Data Graphs

  • Line plots: great because they show you where every piece of data is.

    http://www.ixl.com/math/practice/grade-2-create-line-plots

  • Histograms: Like a bar graph, but in equal intervals along numeric scale. Book says it is not used because it confuses kids. What scale should they use? Ex. http://www.ixl.com/math/practice/grade-5-create-histograms

  • Line graphs: "Used when there is a numeric value associated with equally spaced points along a continuous scale" (Lovin & Van de Walle).    

    http://www.mathgoodies.com/lessons/graphs/line.html

    Which graph do you think is useful for the kids? Why?


Circle graphs
Circle Graphs

  • K-3 they use circle graphs which have data points, not percentages.

  • The circle graphs can show fractional ideas.

  • Let's create a Human Pie Chart!

  • What are you favorite Thanksgiving Dishes?

  • Human Circle Graph Activity. 


Graph changes for grades 3 5
Graph changes for grades 3-5

  • Bar graphs: become double bar graphs.

  • Pictographs now represent more than 1. This starts slightly in 2nd grade but more so in 3rd to 5th.

    http://www.ixl.com/math/practice/grade-3-pictographs

  • Continuous data Graphs: Book says histograms are still skipped unles state standards requires teachers to cover

          these graphs.

  • Circle Graphs: In grades 3-5, these graphs still show fractional ideas, but now they also show percentage.

    http://nces.ed.gov/nceskids/createagraph/


More graph changes
More Graph Changes

  • Also Coordinate Graph is introduced, slightly in 2nd grade but more so during the 3rd-5th grades.

    http://www.ixl.com/math/practice/grade-3-coordinate-graphs

         Which of these graphs do you think, will help the kids?

  • Stem and Leaf Plots: "A form of bar graph in which numeric data are plotted by using actual numerals in data to form the graph" (Lovin & Van de Walle p. 332).

  • 2 Stem and Leaf plot

  • Stem and Leaf plot activity


The classification of data
The Classification of Data

  • Data Classification - The way in which data gets categorized, an activity fundamental to data analysis

  • Attribute Materials - Sets of objects that lend themselves to being sorted and classified in different ways

    • Unstructured 

    • Structured  

  • Classification Exercises

    • (three-loop activity demonstration)

    • ("guess my rule" class activity)

  • For the early grades data classification lays the foundation for later data analysis, and fosters logical reasoning


Data analysis statistics
Data Analysis - Statistics

Statistics - numbers that describe data, and give insight to the relevance of described data

  • Mean, median and mode - all specific types of averages, or measures of central tendency 

    • http://jmathpage.com/JIMSStatisticspage.html

    • (Leveling the Bars Activity --- The Leveling Concept of Mean)

    • (Balance Point Demonstration --- The Balance Point Concept of Mean)

  • (bowling activity data gathering/sharing)


Data analysis bowling activity
Data Analysis --- Bowling Activity

  • Exploring the Data gathered during this activity 

    • Mean  --- Thought of as the "average" of a set of numbers

    • Median --- The middle-value in an ordered set of numbers

    • Mode --- The value that occurs most frequently in a set

    • Range ---The distance between the highest and lowest data values in a set

    • Variance --- How dispersed the data are within the range


References
References

  • Johnnie's Math Page. (2010). Sort the fruit. [Electronic graphing website]. Retrieved from  http://jmathpage.com/JIMSStatisticspage.html

  • IXL. (2010). 2nd grade math. [Electronic graphing website]. Retrieved from http://www.ixl.com/math/practice/grade-2-create-line-plots

  • IXL. (2010). 3rd grade math. [Electronic graphing website]. Retrieved from  http://www.ixl.com/math/practice/grade-3-pictographs

  • IXL. (2010). 3rd grade math. [Electronic graphing website]. Retrieved from http://www.ixl.com/math/practice/grade-3-coordinate-graphs

  • IXL. (2010). 5th grade math. [Electronic graphing website]. Retrieved from http://www.ixl.com/math/practice/grade-5-create-histograms

  • Lovin, L. and Van De Walle, J. (2006) Teaching student-centered mathematics grades k-3.  Boston: Pearson.

  • Lovin, L. and Van De Walle, J. (2006) Teaching student-centered mathematics grades 3-5  Boston: Pearson. 

  • Macmillan-McGraw Hill. (2009). Math tool chest. [Electronic graphing website]. Retrieved from http://www.mhschool.com/math/mathtoolchest/mtc_online/

  • Math goodies. (2010). Mrs. glosser's math goodies. [Electronic graphing website]. Retrieved from http://www.mathgoodies.com/lessons/graphs/line.html

  • NCES. (n.d.). Create a Graph. [Electronic graphing website]. Retrieved from http://nces.ed.gov/nceskids/createagraph/

  • NLVM. (2010). Bar chart-nlvm. [Electronic graphing website]. Retrieved from http://nlvm.usu.edu/en/nav/frames_asid_190_g_1_t_1.html.

  • Johnnie's Math Page. (2010). Mean Runners. [Electronic graphing website]. Retrieved from http://jmathpage.com/JIMSStatisticspage.html


ad