Page 11 - THE MATHMATE November 2024
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Measures of Center



                                                      Bridget Coleman
                                                      Walker Seymour


                                                         Abstract
             Content related to measures of center traditionally begins in middle grades mathematics curriculum.
            Teaching the content in context can provide opportunities for students to interact in relevant, engaging
            activities. This article shares student-focused ideas for connecting typical measures of central tendency
                                               through authentic applications.



          Introduction                                           Carolina College and Career Ready Mathematics
          Statistical methods are useful tools in analyzing      Standards,  students  learn  to  calculate  and
          the  massive  amounts  of  data  available  at  our    interpret  range  and  mode  in  fifth  grade.  Sixth
          fingertips.  Considering  measures  of  central        grade  content  extends  further  in  interpreting
          tendency  helps  us  be  good  consumers  of           statistical elements including typical measures of
          information. Finding the most typical values in a      center. Progressively,  seventh grade and eighth
          data set helps us gain more insights about the set.    grade  work  with  multiple  data  sets  in  more
          Analyzing the mean, median, and mode helps us          complex  analysis  including  interquartile  ranges.
          interpret where typical values lie and how the data    Ninth grade geometry has a statistical focus. The
          is centered. Being caught up in the procedure of       Indicator Insights (SC CCRMS, 2023) emphasize
          finding  the  measures,  students  often  miss  the    that  data  should  be  examined  in  context.
          importance of interpreting what the measures tell      According to the National Council of Teachers of
          us about the data set. Beyond the calculations is      Mathematics (2014), students are empowered by
          the nature of what each measure can reveal about       authentic    applications.   Providing   real-life
          a data set and why one measure may be more             applications  gives  context  to  the  content  and
          pertinent  during  analysis  for  specific  purposes.   makes  it  more  meaningful  for  students.  Critical
          The  mean  or  average  is  a  popular  element  to    thinking  is  also  enhanced  and  gives  students  a
          consider  because  it  is  representative  of  every   reason to think more deeply. The Association for
          element in the set. The mean alone, however, only      Middle  Level  Education  (AMLE)  Successful
          gives us part of the story that inferential statistics   Middle  Schools  (Bishop  &  Harrison,  2021)
          can tell. Circumstances within the data set may        promotes     education    that   is   responsive,
          determine  which  measure  is  most  appropriate.      challenging,    empowering,     equitable,   and
          Certain measures may be more pertinent based           engaging as best serving the needs of students in
          on how the information is being utilized.              the  middle  grades.  An  integrative  curriculum
                                                                 contributes to effective teaching and learning.
          Content related to measures of center traditionally
          begins  in  the  middle  grades  mathematics           Using topics of interest to your students cultivates
          curriculum.  In  the  newly  released  2023  South     an  environment  suited  for  collaboration  and



           Scctm The MathMate                               11                 Volume 44/Number 1 October 2024
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