4.2 Introduction to Statistics and Probability: Math 111
Introduction to Statistics and Probability (Math 111) is a course that many students are required to take as part of their major requirements (e.g., the nursing major) at York College, CUNY. The course will introduce students to statistics and probability concepts such as the graphs of data sets, the frequency distributions, the measures of central tendency and the measures of dispersion, the elementary probabilities, the counting principles, i.e., the binomial counting principle, and the normal distributions.
OEREnabled Pedagogy: Prompts and Examples for Introduction to Statistics and Probability (Math 111)
In OER Activity Prompt #1, students are asked to create homework questions. In OER Activity Prompt #2, students will be asked to create a study guide. In OER Activity Prompt #3, students will be asked to create a practice test. After completing these activities, students will be able to:
 Construct the frequency distribution and their graphs
 Graph and interpret quantitative data sets using stemandleaf plots and dot plots
 Graph and interpret qualitative data sets using pie charts and Pareto charts
 Graph and interpret paired data sets using scatter plots and time series charts
 Find the measures of central tendency
 Find the measures of variation
 Find the measures of position
For all these three OER Activity Prompt students will be asked to:
 Apply to 4C’s (collaboration, creativity, communication, and critical thinking) during a group activity.
 Apply the 5R’s (remix, reuse, retain, revise, and redistribution).
 Create, transform, discuss, analyze, compile, modify OER material, and classroom material.
 Individually create two unique reallife application world problems related to the OER Activity Prompt.
 Create any of these: study guides, homework and tests.
 Share their creation among themself and present their work to the class.
 Share, post, and license their work to the OER community.
OER Activity Prompt #1: Creating a homework for Test 1
This activity is usually done at the beginning of the first month of the semester after students have the proper prior knowledge and skills to create a homework activity. It will take about 90 minutes. Students will be working in groups of 4 and then present their work in front of the class. This activity can be done by using different active learning techniques. The technique that will be used is thinkpairshare.
At the beginning of the class: (10 minutes)
Example: 4:00 PM. Instructors will:
 write and introduce the activity.
 explain what the students will be doing for the activity.
 explain what is in an OER  Active Prompt #1 from line 1  4.
 give the following two materials to the students:
 OERActivity Prompt #1: Creating Homework for Test 1.
 Corrected homework # 1 for Test 1.
 Ask students to form groups at 4:10 PM.
Part 1 of OER Activity Prompt #1: Creating a Homework for Test 1
York College Mathematics and Computer Science Department Introduction to Statistic and Probability OER Activity Prompt # 1: Creating a homework Math 111 Instructor: Katuska Campana Date:________  
1.  Prior Knowledge: Students were taught these topics in prior lectures. Aim: Students will be creating a review homework for Test 1. Objective: At the end of this activities student will be reviewing
Motivation: Students will be watching a YouTube video. ( 5 minutes)

2.  Activity Technique: ThinkPairShare Think: Instructors will ask a question to the class to engage students in critical thinking. Instructors will ask students to write down their answers. Pair: Students will be paired in groups to discuss their short answer response. Share: Instructors will ask students to either:
Technology: students will be encouraged to use graphing calculators, i.e., TI83 or TI84. Accommodations: Students with disability will be accomodated
Environment :This activity can be done in:
Materials: Students will be using OER resources and classroom materials: corrected homework. 
3.  Task: OER Activity Prompt # 1:Creating homework for Test 1. Time:(90 minutes) Note: This activity will be done at the beginning of the class. Students will form groups after the instructor takes attendance, introduce the activity learning activity, and give students specific guidance about the activity. About the time, for example, if a class starts at 4:00 PM, the start time from the activity will be 4:10. Remember that time management is crucial in an active learning classroom, so keeping on track of your time is imperative. (This information does not have to be included when you create your activity. This note is to give instructors more details about this section). York College Mathematics and Computer Science Department Introduction to Statistic and Probability Student Name:____________________________Date:__________ Group #____ Working in groups: (15 minutes)During this time students will:
Sharing the Work:(15 minutes) After each student works individually in their group and has written at least two world reallife problems and answer most of the questions, students will :
Presenting their work: (50 minutes) Once students finish working in groups and choosing who is going to present their work. Only 4 groups will present their work. Each group will have 10 minutes to present their work. Each group will be asked to go to the front of the class to present their work. No more than two students per group will be presenting their work to the class. Student might also presenting their work to the class by:
Note: the group will decide how to present their activity to the class. For the purpose of this activity students will be presenting their work in front of the class and they will be utilizing the board. Feedback:(5 minutes) After creating, sharing, and presenting their work, students will be asked to write a feedback paragraph about their classmates’ presentations to be given to the leader of each group. Students must take a picture of their grading to keep a math journal to be cc licensed at the end of the semester to the OER community. Students will also be asked to write one question from their classmates’ presentation to include it in their activity. Reflection: (5 minutes) Students will be writing a reflective paragraph about what they learn from working in a group, from their activity and from their classmates’ presentations. Note: As for the feedback and reflection activity, instructors can choose to do only one to spend those extra 10 minutes to allow other groups to present their work. However, it is important that at least one writing activity must be done during any active learning activity as part of keeping students actively involved all the time. If students are not asked to write about their classmates’ presentations, they more likely will not pay attention, and they will be bored during those long 50 minutes. 
4.  Homework: (5 minutes) This time is to give homework’s instruction.

Total: 110 minutes 
Part 2 of OER Activity Prompt #1: Creating a Homework for Test 1
The below group activity is an example of class material that students will use for the OER activity prompt. This group activity also has a video link, an online lesson, and online homework. Students must watch the video, finish the online homework and activity before starting creating an active prompt.
York College Mathematics and Computer Science Department Introduction to Statistic and Probability Review Homework Test 1 Math 111 Instructor: Katuska Campana Date: _______  
 
 
 
Video: Khan AcademyIntroduction to mean, media and mode Online Lesson: MathisfunMean, median and mode Online homework: Mathisfunhomework  
Please form a group of four to discuss the following:

OER Activity Prompt #2: Creating a Study Guide for Test 1
Part 1 of OER Activity Prompt #2: Creating a study guide for Test 1
This activity is usually done as a follow up from OER Activity Prompt #1. It will take about 30 minutes and can be used for any classroom size using different OER active learning techniques. For OER Activity Prompt #2, students will be using the Thinkpairshare technique, and the TestTeachTest (TTT) technique.
Time: 60 minutes
Example: Instructors will
 introduce the two techniques for activities: TestTeachTest and ThinkPairShare.
 explain what students will be doing during each activity.
 give these two materials to the students:
 OERActivity Prompt # 2
 Corrected homework #1 for Test 1.
 Test:Instructor will give one question quiz (5 minutes)
 Teach: a mini lesson (30 minutes)
 Test: another one question quiz (5 minutes)
 OER Activity Prompt:ThinkPairShare.
Mathematics and Computer Science Department OER Activity Prompt # 2: Creating a Study Guide for Test 1 Math 111 Instructor: Katuska Campana Date: ___________ Student Name:____________________________Date:__________ Group #_________ 
Time: 4:00PM  5:00PM

2. Prior Knowledge:Students were taught these topics in prior lectures. 
3. Aim: Students will create a study guide for Test 1 
4. Objective: By the end of this activities, student will be able to

5. Test: one question quiz (5 minutes) 
Time: 4:15PM  4:55PM 6. Lecture: mini lesson ( 40 minutes)
Note: Read this article if you want to learn more about how to create a lesson. 
7. Test: one question quiz (5 minutes) 
8. OER Activity Prompt Time: ThinkPairShare. Students will form groups at 5:00 PM. Task: Creating a study guide (30minutes) Time: 5:00PM  5:40PM a. Activity Technique: ThinkPairShare b. Materials: Students will be using OER resources and classroom materials. d. Technology: students will be encouraged to use graphing calculators, such as TI83 or TI84 e. Working in groups: (15 minutes) OER Activity Prompt Technique: ThinkPairShare.
After each student works individually in their group and has written at least three world reallife problems and answer most of the questions, students will :
e. Reflection: (5 minutes) Students will be writing a reflective paragraph about what they learn from working in a group, from their activity and from their classmates’ presentations. End of the activity at: 5:40 PM Note: In this activity students will be writing two reflection paragraphs. These two short response paragraphs will be written in their math journal that students will cc license at the end of the semester as part of a class project.

9. Administrative message: (5 minutes) This time is to give homework’s instruction.

10. Class dismissed at 5:45 PM (5 minutes)The last 5 minutes is to speak with students. 
OER Activity Prompt #3: Mini Lesson
In OER Activity Prompt #3, students will also work in group settings for 30 minutes. The group technique students will be doing is Thinkpairshare, followed by a short writing response in students’ math journal after each group presents their work. The purpose of this activity is to create a mini lesson that students will be able to use in a peer tutoring activity technique whenever a student misses class or to accommodate students with disabilities who need to be placed in small groups settings of two.
In OER Activity Prompt #3, students will be actively working in group settings for the OER activity, and they will be creating their own questions individually and then sharing them to the group and to the class. Here is an example of how these twoactivitytechniques are applied.
OER Activity Prompt time duration: 80 minutes
OER Activity Prompt Technique: ThinkPairShare
Example: At the beginning of the class, instructors will:
 introduce the two activities
 Lecture: TestTeachTest
 OER Activity Prompt: ThinkPairShare.
 Explaining what students will be doing during the activity.
 Introduce and explain OER  Activity Prompt # 3 sections.
 give these two materials to the students:
 OERActivity Prompt # 1 and 2
 Corrected homework # 1 and 2
Mathematics and Computer Science Department Introduction to Statistics and Probability OER Activity Prompt #3: Mini Lesson Math 111 Instructor: Katuska Campana Date: _______________ 
Prior Knowledge: Students were taught these topics in prior lectures. 
Aim: To give students a deep understanding of the measure of center and variation. 
Objective: This activity has two primary goals:

Materials: Students will be using OER resources and classroom materials. 
Technology: students will be encouraged to use graphing calculators TI83 or TI84 
Accommodations:

Task: During this time, students will be working in groups of five to create a mini Lesson for Test # 1. Students will be: Think  Pair
Share

Presentations: Four Groups will present their work. Each group will have 10 minutes. Other groups will be taking notes and asking questions to the presenters 
Assessment: Instructors can use this time to ask students to write a short response, or feedback or a one question quiz. For the purpose of this activity students will be writing one paragraph feedback in their math journal. 
Total class duration: 110 minutes 
By Katuska Campana