Overall, I am quite pleased with the gain my students made from the pre to the post test scores. The class of students averaged 49% on the pre-test and grew to averaging 85% on the post-test. Every one of my students registered gains. I believe the fact that everyone made gains is indicative of the classroom environment that my students and I created.
Our classroom environment hinged upon three ideas: First, number sense is best developed over increments of time, thus we took our time and stayed with topics that students struggled with until there was either a classroom consensus that we were ready to move forward or assessments that the teacher evaluated proved that students grasped the content. This allowed for more checking for understanding by the teacher and also allowed more partner and group time to converse about mathematics. Furthermore, and just as important, these times allowed the teacher more time to implement differentiated instruction.
We also decided that learning best takes place in an environment that is safe. Safety comes in a variety of forms, but we focused on listening to others, talking in turn, respecting differing opinions without put-downs, and staying within our roles as teacher and students. During more class time than not, students were seemingly autonomous. However, there were specified times when I needed to be allowed to manage the class from the front, having everyone’s attention. There were also times for group discussion, yet I still needed to be allowed to require quiet episodes or regroup students to their seats. My students allowed me this privilege.
Finally, I believe all of my students registered gains because we all agreed to work hard. After the first summative assessment we had a class meeting where we decided as a group on the three ideals that I have mentioned (Attached is an original version where students wrote down our convictions). Among this and a part of working hard was both teacher and students studying, taking notes, and completing the homework. My students came up with what they and I needed to do to better encourage their learning and we all kept our end of the deal.
Following are several graphs and tables indicating whole class pre and post scores, subgroup’s scores, and class averages. Each graph is followed by a brief interpretation of the data. This section offers information analyzed about male versus female learning gains, gains by people group, students who registered the fewest gains and those that registered the most. Graphs and all material reflecting students contain pseudo-initials. No real names or initials are included in this worksample.

- Data on Learning Gains/Related Standards: Data on learning gains resulting from instruction, analyzed for each student, and summarized in relation to students level of knowledge prior to instruction. TSPC OAR 584-017-0185(2)(d) GSE Conceptual Framework: 2.1, 2.2, 3.1, 4.1
- Interpretation or Explanation of Learning Gains/Related Standards: Interpretation and explanation of the learning gains, or lack thereof TSPC OAR 584-017-0185(2)(e) GSE Conceptual Framework: 2.1, 2.2, 4.1
Here are the pre and post assessment scores for each student. The scatter plot style of graph along with the table allow for a clear view as to the pre and post score as well as the points gained by the individual over the span of the unit. The smallest gain out of all of the students was 5 points from pre to post assessment and both student KS and student GA made those gains. The largest gain was registered by student CW who gained 20 points from pre to post assessment. As a whole, the students averaged a gain of just less than 11 points per student. The class average score gain was 36%, coming from 49% and ending up at 85%. Both the pre and post assessments included a variety of probes as questions, yet they both assessed the same concepts. Each of the assessments allowed students to illustrate their knowledge in a variety of ways: diagrams, written forms, and with mathematical symbols.
There were four students who did not register a passing score; student JC scored a 19≈61%; student MG scored a 20≈64.5%; student FL scored an 18≈58%; and student KS scored a 21≈67%. Though these students did not register a passing score, it is noteworthy to mention that they all made substantial gains. JC made gains of 26%; MG made gains of 39.5%; FL made gains of23%; and KS registered the lowest gains with 16%. It is also noteworthy to note that none of these students met benchmark on their state tests in mathematics last year; subsequently, though they made substantial gains, they had so much ground to make up from their original lack of experience that even substantial gains don’t show up through surface details like test scores. For instance, student MG registered almost a 40% gain, yet did not receive a passing score. The instruction that I differentiated for two of the four of these students worked well: different homework, which often equated to more practice; more one on one time with the teacher throughout the unit conversing about their reasoning than most students; and at times slightly different tasks during activities in class. For the other two, I must find another solution path. Neither 16% nor 23% are gains that I am willing to accept. For future considerations, I will differentiate modes of instruction and assessments.

- Data on Learning Gains/Related Standards: Data on learning gains resulting from instruction, analyzed for each student, and summarized in relation to students level of knowledge prior to instruction. TSPC OAR 584-017-0185(2)(d) GSE Conceptual Framework: 2.1, 2.2, 3.1, 4.1
- Interpretation or Explanation of Learning Gains/Related Standards: Interpretation and explanation of the learning gains, or lack thereof TSPC OAR 584-017-0185(2)(e) GSE Conceptual Framework: 2.1, 2.2, 4.1
The subgroups outlined above include all the students in the class where I completed my work sample. Each group’s pre and post assessment average score is graphed along with the possible points for each assessment [note: the possible points were 31 for each pre and posttest. There were two extra credit points on each test thus taking the maximum scores up to 33]. Each group showed significant increases in their average with the Latino/a group showing the least gains and the Vietnamese group showing the greatest. Something to note is that the Vietnamese group only consisted of two students. Though this group displayed the highest gains, it may be because it was a measure that calculated only the two students. The African-American group showed significant pre and post scores, but it is also necessary to note that there were only three African-American students in the class. The Latino/a group had the second highest number of students in the class with five. Their numbers averaged the lowest out of each of the groups which may be due to both their previous experience with the mathematics in the unit in addition to representing 1/5 or 20% of the classes students. Because they represented the majority of the class of students, the Caucasian group represents the most likely accurate representation of pre and post assessment gains. This group of students gained 12.14 points for their average test score taking them from a pre assessment average of an F at 49 %, to a post assessment average of a B at 88%.
Since there were no students in my class labeled as English language learners or none on I.E.P.’s, my next and final subgroups are male versus female. I was excited to confirm that scores were almost identical across gender lines. The female pre assessment average score was 15.25, while the male average score was 15.46; the female average post assessment score was 26.37, whereas the male post assessment average score was 26.73. Males reflected a gain of .06 more than the females in my classroom from the pre to the post assessment. Six one-hundredths is not a substantial difference in improvement and lends itself to the notion of fair treatment and individualized instruction.

- Data on Learning Gains/Related Standards: Data on learning gains resulting from instruction, analyzed for each student, and summarized in relation to students level of knowledge prior to instruction. TSPC OAR 584-017-0185(2)(d) GSE Conceptual Framework: 2.1, 2.2, 3.1, 4.1
- Interpretation or Explanation of Learning Gains/Related Standards: Interpretation and explanation of the learning gains, or lack thereof TSPC OAR 584-017-0185(2)(e) GSE Conceptual Framework: 2.1, 2.2, 4.1
Measuring a class of 25 students as a whole, here are the pre and post assessment average scores, along with both the maximum and minimum scores shown graphically and in a table. All 25 students were provided the same pre and post assessments. Students that were absent during the unit were given the homework and any quizzes and/or tests that were covered while they were gone. One on one time was spent before, during, or after school with students who were absent and felt as though they did not understand the material that they missed.
Both the pre and post assessments had a total of 31 points possible with 2 additional bonus points. The bonus points were items that were not covered in the unit, but relate to the material covered in the unit and that students will receive later in the year. The class average was 26.6 which equals out to a B≈85%. A successful 44% scored 28 and above receiving A’s, while 3 of the students receiving A’s scored 1.06%, even getting the two bonus questions correct.
