AN ACTION RESEARCH PROJECT:
IMPROVING STUDENT LEARNING THROUGH CORRECTIVE ACTION
Diane Clark
Grand Erie District School Board
School profile
Lynndale Heights Public School opened in the fall of 1998 in a quiet residential area of Simcoe, Ontario, and brought together 260 kindergarten to Grade 8 students from five local schools. While varying abilities is always a reality in any classroom, teachers at Lynndale found the students’ divergent strengths and weaknesses to be quite pronounced. There were large gaps in their backgrounds and teachers quickly became aware that the curriculum, in many cases, could not be taught until these gaps were filled. In Grade 6 there were 42 students; 27 were in my class, and the other 15 were the classroom next door.
What would be the focus question? What was my concern?
When looking at the 1999 EQAO Provincial Assessment results for the Grade 6 students in the fall of 1999, the varying attitudes of the males and females towards mathematics were quite surprising. The percentage of girls who, on the questionnaire, stated that they liked math was a disturbing 33 whereas 73% of the males liked math. Even more striking was the difference in attitude when asked if they were good at math (girls 33%, and boys an overwhelming 80%). This did not seem right because I knew that I had many very strong girls who appeared to be confident when doing math, felt comfortable when volunteering answers, wrote long explanations in their math journal, and met a lot of success on daily assigned work and tests. I then examined the actual concrete levels of achievement in the EQAO assessment, and my suspicions were confirmed: more girls than boys had achieved Level 3 or 4 on the math components of the assessment! Why did 67% of the girls think that they were not good at mathematics? I knew that going through the action research process would help me to find the answer to this question.
Liana, Grade 7 teacher at Lynndale and current teacher of many of the students reflected in the 1999 assessment results, examined the results with me and, together, we determined that our research topics would be:
Why do more girls than boys believe that they are not succeeding at math?
and
What can be done in the classroom to ensure that more girls feel increased confidence and self-esteem when doing math?
What did I do? What data did I collect?
After giving the research topics much thought, Liana and I formulated a plan of action which would provide us with some insight into attitudes of the students with regard to math. We immediately did the following:
Math questionnaire: observations based on the data
As planned, TAG groups became single gender and my group was all-female. From the outset it was obvious to me that the girls in my TAG group were relieved to be able to discuss their feelings about math in an all-girl setting. When asked why, they told me that the boys always monopolize the discussions and lessons in regular classes. Did I allow this to happen in my classroom? That was something I was going to have to pay very close attention to in the future. Despite some initial discussion about whether or not they liked math, we agreed to leave all discussion until after the questionnaire had been completed.
The questionnaires (see Appendix 1) were filled in during the next TAG class and students were asked to be as honest as possible. Liana and I decided that I would look at and tabulate the results from the girls’ questionnaires and she would look at those of the boys. When examining the girls’ questionnaires, I did not see as much negative attitude as I expected (based on the 33% figure on the attitudes section of the EQAO testing) but, nevertheless, the girls were definitely honest about why math is not their favourite subject.
When I looked at attitudes towards specific strands or math activities (see Appendix 2), I began to see some interesting patterns emerging - 38% of the Grade 6 girls chose graphing as their favourite math activity and most gave the reason that it was easy to do and fun to colour. They feel creative when they are graphing. Least favourite was word problems (42%) and then math journals (33%). Not liking math journals surprised Liana and me because so many of the girls in our classes love to write and, when asked to write math journals, they write paragraph after paragraph in response to the journal topic. Their reasons for not liking math journals included not liking to explain themselves, and finding it too difficult to explain something mathematical. It was encouraging to see that 73% of the Grade 6 girls do not worry about the reaction of boys when giving answers in class, leaving 27% who do worry. That number increases to 43% in Grade 7. As for who they prefer to work with when doing math, 40% in Grade 6 prefer being paired with a girl, and 38% prefer working in a group of all girls. By Grade 8, girls prefer to work alone (40%) or with one other girl (40%).
Eye-opening figures were seen in the responses to the questions, “Do you like math?”, and “Are you good at math?” While 67% of the girls in Grade 6 like math, that number is reduced to only 57% in Grade 8. When asked if they are good at math, 73% of Grade 6 girls said yes, but only 43% of Grade 8 girls feel they are successful with the subject. (See Appendix 3)
When I added the data about the boys to the comparison chart it was interesting to see the differences between the genders. Unlike the girls, 29% of the boys chose problem solving as their favourite math activity. They, too, like graphing (also 29%). Math journals were chosen to be the least favourite math activity in all three grades (25% in Grade 6, 62% in Grade 7, and 55% in Grade 8). Their resounding reason was an immense dislike to explaining something in detail.
In contrast to the girls, 100% of the boys in Grades 6 and 7 are never concerned about responding orally to math questions in the presence of girls. That number drops to 92% in Grade 8. When asked if they like math, the number increases from 71% in Grade 6 to 90% in Grade 8. 86% of the boys in Grade 6 feel they are good at math and 91% in Grade 8 believe the same.
To provide us with some corrective feedback from the students, we had included the question, “What would make math more enjoyable for you?” on the questionnaire, and their varied responses (see Appendices 4 and 5) gave us food for thought about our own teaching practices in the classroom.
The data was shared with the staff, and then with the TAG groups. The girls in my group did not seem surprised with the differences but most agreed that, if given the opportunity, they would like to take a more active role in math lessons.
Rethinking the action research focus question:
As time passed, my action research question became more focused, and was thus re-written:
What is the stimulus to foster positive attitude for girls towards the importance of math and science in their lives?
Liana and I discussed how males could be a part of our question and we created this:
What can a teacher do to make the classroom less gender biased during math/science lessons so that both boys and girls feel comfortable and challenged with lessons, assignments and the curriculum?
Modifying my practice in the classroom: corrective feedback practices
I now felt better prepared to tackle the action research questions at hand, and was beginning to be more aware of gender attitude differences in my classroom. Of note was an interesting observation I made when marking sentences written by my students. The word was “genius” and students had been asked to put the word in a sentence. Six girls in the class wrote similar sentences: “He’s a real genius when it comes to tests (or school work)”. Only one girl referred to the genius as a female. The boys’ sentences were more generic, such as “You’d have to be a genius to figure out how to do that!”. I struggled with whether to make this a class discussion or not, and finally decided that while some insightful comments might be made during such a discussion, some hurtful or damaging ones might also be made, so I decided to leave it alone, for the time being.
Promoting a change in attitude had to come from me, so I made it a point to randomly bring in and discuss, with the students, articles about talented females in the news (sports, space travel, scientists, etc.), women who were breaking stereotypes. Soon several female students were bringing in related newspaper and internet articles, and appeared to look forward to boasting about “one of their own”. I was thrilled when five students, of both genders, brought in an advertisement insert that had been placed in the weekend newspaper promoting a computer for girls (covered with Barbie decals) and a computer for boys (covered with Hot Wheels decals). They were incensed to think that adults were attempting to stereotype them. Further discussion developed a few days later when several students brought me an article about trading cards for girls based on photographs and information about “Real Boys”. They were outright insulted to think that this was being touted as the female equivalent of boys’ Pokemon cards.
Concrete proof of a slowly developing change in the attitudes of the girls in my class came about when speech topics were being chosen in January. I was thrilled to learn that more than half of the girls in my class were researching famous Canadian females such as Julie Payette, Laura Secord, Pauline Johnson, and Becky Kellar, and two boys were researching Roberta Bondar!
On the advice of the articles and books I had read of late, I changed my seating plan to allow girls to sit next to girls of their choice. The research says that girls fare better, academically, when they work exclusively with girls, and for this reason all group work in my classroom was now single gender. The girls loved this change because in the past I had always insisted that there be a mix in each group, using the reasoning that the stronger ones would assist the weaker students. I had also believed that the more-focused females would positively affect the inattentive males. With the single gender groups, I saw the girls gain confidence daily as they helped each other, asked questions, and worked collaboratively on all aspects of the curriculum.
Problem solving was determined to be the least favourite aspect of the math program for girls according to the math questionnaire, and yet it is woven throughout the math curriculum, so I decided that if I were to choose one area upon which to focus in math, problem solving would be it. Amid groans from the girls and the boys, we began an intensive unit in January in which problem solving strategies were explored and used repeatedly with word problems. Day after day, we worked on problem solving in single gender groups and after two weeks, I began to notice a change in the students’ attitudes and approach to the work. They began to use the terminology (“Let’s use guess and check for this one”, “Yeah but if we create a t-table we might see a pattern emerge”) and appeared to be less frustrated with the questions. My weaker girls were speaking excitedly about the problems. It was working! When our unit was over, the students asked if we could devote one day in each six-day cycle to problem solving, and now they eagerly anticipate the word problems awaiting them. That is quite a refreshing change from the fall. Back then, I had erroneously assumed that the students arrived in Grade 6 knowing how to solve problems. Because they lacked the basic steps, they had been frustrated and lacked the knowledge to approach problem solving with confidence. Now, half a year later, they have both the know-how and the desire to problem solve. The girls, primarily, demonstrate the confidence to solve word problems without much teacher intervention or guidance.
How else has improvement been demonstrated?
After the second term report cards were distributed, I was curious about how much, if any, the girls in my class had improved in mathematics from the first term. I was pleased with the results (see Appendix 6). As a frame of reference, I also looked at last year’s Grade 6 students and their changes from term one to term two. Then, I calculated the number of girls who had achieved level 3 in each of the strands as compared to last year’s girls in second term (see Appendix 7).
Return to mixed gender groupings nets positive results
With the students working in single gender groups since the beginning of the second term, I have seen girls who were reserved and hesitant to contribute to class discussions become more confident and willing to share ideas with their peers. In February, during social studies, we were reviewing the unit “Natives of Canada” in preparation for a test. We were playing a game of Jeopardy and I placed the students in mixed gender groups so that I could see if any change in the group dynamics had taken place since the start of the action research. I was pleasantly surprised - in the fall the boys usually overtook the groups and did most of the talking. Now, in February, the reverse was seen. Girls who I had known to sit back and just watch the group’s proceedings were now the leaders of the group - the girls were deciding who would answer the questions, how to organize the information during the game, etc. It was truly amazing to see these girls exude confidence with their peers! Working in single gender groups had certainly helped the girls in my class.
Action research conference
Liana and I were asked to present our findings thus far to a small group of interested educators at the annual Action Research Conference in Brantford. In preparation for our presentation, Liana and I came to realize that definite positive changes were taking place in our classrooms. With this knowledge, we presented our action research to an enthusiastic group who freely offered their opinions and experiences with others in the group. Realizing we learn best from others, Liana and I asked conference participants to provide written input and experiences in relation to our action research topic and were pleased with the sharing going on in the room. (See Appendix 8).
Next steps
As May approaches I realize that, in some respects, I have made strides in ensuring that the girls in my classroom experience increased confidence and self-esteem when doing math, and other subjects. I just have to look at the feelings of self-worth displayed daily by several of my female students to know that I have achieved some success in this area. On the other hand, I also realize that my action research is far from over as I will continue, on a regular basis, to seek and implement ways to foster positive attitude for girls towards the importance of math and science in their lives. Some next steps that are on the go right now are as follows:
Liana and I have arranged for Bob Ogilvie to come to Lynndale Heights on May 15 to in-service the staff about gender issues in the classroom.
Liana and I are planning a “Teen Esteem Lunch” series for the fall of 2000 in which female role models from the community will spend lunch hours with the females in Grades 6, 7, and 8. Several contacts have already been made and the idea is being well-received by the staff at Lynndale.
A program called GIRLS (Growth, Independence, Respect, Leadership, and Self-Esteem) Power Camp, which takes place each spring at Waterford’s Camp Trillium, was recently brought to my attention by my new administrator. He has passed my name on to the person in charge of the camp and Liana and I hope to enroll several of our Grade 8 students for the 2001 camp.
Changes will continue to take place in my classroom as I seek and read more literature related to my action research topic. Ideas and changes will be implemented in my daily interaction with my own students and those in other classes in my school. Being a part of this action research project has shown me that the feedback-feedforward philosophy has enabled me to pinpoint an area requiring closer attention and then provided me with the tools to foster improvement and change in my students and in my teaching practices.
Appendices
Appendix 1 - Math questionnaire given to students in Grades 6, 7, and 8
Appendix 2 - Results of the math questionnaire (table)
Appendix 3 - Female responses to the questions posed on the math questionnaire
Appendix 4 - Female responses to the question: What would make math more enjoyable for you?
Appendix 5: Male responses to the question: What would make math more enjoyable for you?
Appendix 6: Student improvement in Grade 6 from term one to term two (table)
Appendix 7 - Number of females who achieved level 3 in math in the second term of Grade 6 (table)
Appendix 8 - Responses gathered at the Action Research Conference, February 18, 2000
APPENDIX 1
Name: ____________________________________ Grade: ______
Please answer all questions as honestly and thoroughly as possible. You will not be graded on this survey and your answers will not be shared with other students. Your honest opinion is what counts the most.
1. What meaning does math have in your life?
2. To what uses do you put math outside of school?
3. Which of the following experiences in math is your favourite and why?
Circle one and explain your choice.
using manipulatives |
word problems |
pencil and paper tasks |
graphing |
math journals |
solving algebraic equations |
constructing angles |
creating and using nets |
measuring and estimating |
slides, flips, turns |
describing patterns |
probability games |
4. Which of the following experiences in math is your least favourite, and why?
Circle one and explain your choice.
using manipulatives |
word problems |
pencil and paper tasks |
graphing |
math journals |
solving algebraic equations |
constructing angles |
creating and using nets |
measuring and estimating |
slides, flips, turns |
describing patterns |
probability games |
5. Are you concerned about the reaction of members of the opposite sex when you give answers in math class? Why or why not?
6. Do you think your mark in math this term accurately reflects your ability to do the subject? Why or why not?
7. When completing math assignments, do you like to work: (circle one)
alone |
paired with a girl |
paired with a boy |
in a group of girls |
in a group of all boys |
in a group of boys and girls |
Why did you make this choice?
8. If given a choice, would you prefer to attend a math class of: (circle one)
all girls |
all boys |
boys and girls |
Why did you make this choice?
9. What would make the subject of math more enjoyable for you?
10. Do you like mathematics? Why or why not?
11. Are you good at math? Why do you think you are / aren’t?
APPENDIX 2
RESULTS OF MATH QUESTIONNAIRE
(GRADES 6, 7, AND 8 STUDENTS)
GRADE 6 |
GRADE 7 |
GRADE 8 |
|||||
QUESTION |
POSSIBLE ANSWERS |
GIRLS |
BOYS |
GIRLS |
BOYS |
GIRLS |
BOYS |
Which of the following experiences in math is your favourite? | using manipulatives | 7% |
6% |
8% |
|||
math journals | 7% |
8% |
|||||
measuring and estimating | 15% |
14% |
6% |
8% |
|||
word problems | 29% | 6% | 15% | 25% | |||
solving algebraic equations | 6% |
8% |
22% |
8% |
|||
slides, flips and turns | 14% |
17% |
17% |
||||
pencil and paper tasks | 9% |
25% |
|||||
constructing angles | 7% |
8% |
22% |
8% |
|||
describing patterns | 8% |
||||||
graphing | 38% |
29% |
50% |
23% |
39% |
||
creating and using nets | 14% |
||||||
probability games | 23% |
14% |
9% |
31% |
|||
Which of the following experiences in math is your least favourite? | using manipulatives | 7% |
|||||
math journals | 33% |
25% |
24% |
62% |
27% |
55% |
|
measuring and estimating | 8% |
5% |
|||||
word problems | 42% |
25% |
24% |
23% |
33% |
9% |
|
solving algebraic equations | 5% |
8% |
9% |
||||
slides, flips, and turns | 8% |
13% |
5% |
13% |
9% |
||
pencil and paper tasks | 8% |
13% |
19% |
8% |
9% |
||
constructing angles | 5% |
||||||
describing patterns | 13% |
14% |
20% |
9% |
|||
graphing | |||||||
creating and using nets | 13% |
||||||
probability games |
GRADE 6 |
GRADE 7 |
GRADE 8 |
|||||
GIRLS |
BOYS |
GIRLS |
BOYS |
GIRLS |
BOYS |
||
Are you concerned about the reaction of members of the opposite sex when you give answers in math class? | yes | 27% |
43% |
21% |
8% |
||
no | 73% |
100% |
57% |
100% |
79% |
92% |
|
Do you think your marks in math this term accurately reflect your ability to do the subject? | yes | 83% |
43% |
72% |
46% |
71% |
55% |
no | 17% |
57% |
18% |
54% |
29% |
45% |
|
When completing math assignments, do you like to work: | alone | 15% |
25% |
5% |
38% |
40% |
23% |
in a group of girls | 38% |
10% |
8% |
13% |
|||
paired with a girl | 40% |
45% |
40% |
15% |
|||
in a group of all boys | 13% |
15% |
|||||
paired with a boy | 25% |
23% |
15% |
||||
in a group of boys and girls | 36% |
40% |
15% |
7% |
54% |
||
If given a choice, would you prefer to attend a math class of: | all girls | 64% |
38% |
8% |
29% |
9% |
|
all boys | 57% |
||||||
boys and girls | 36% |
43% |
62% |
92% |
71% |
91% |
|
Do you like mathematics? | yes | 67% |
71% |
55% |
67% |
57% |
90% |
no | 33% |
29% |
45% |
23% |
43% |
10% |
|
Are you good at math? | yes | 73% |
86% |
59% |
67% |
43% |
91% |
no | 27% |
14% |
40% |
23% |
57% |
9% |
FEMALE RESPONSES TO THE QUESTIONS POSED ON THE MATH QUESTIONNAIRE
What Meaning Does Math Have In Your Life?
To What Use Do You Put Math Outside Of School?
Math Experiences That Are Favourites - Why?
Math Experiences That Are Least Favourite - Why?
Concerned About Reaction Of Members Of Opposite Sex When Giving Answers In Class?
NO
YES
APPENDIX 4
FEMALE RESPONSES TO THE QUESTION:
WHAT WOULD MAKE MATH MORE ENJOYABLE FOR YOU?
Females in Grade 6 gave the following responses:
Females in Grade 7 gave the following responses:
Females in Grade 8 gave the following responses:
APPENDIX 5
MALE RESPONSES TO THE QUESTION:
WHAT WOULD MAKE MATH MORE ENJOYABLE FOR YOU?
Males in Grade 6 gave the following responses:
Males in Grade 7 gave the following responses:
Males in Grade 8 gave the following responses:
APPENDIX 6
STUDENT IMPROVEMENT IN GRADE 6 FROM TERM ONE TO TERM TWO
--A comparison of two classes--
1998-1999 Academic Improvement from term 1 to term 2 |
1999-2000
Academic Improvement from term 1 to term 2 |
|||
MATH STRAND | Females |
Males |
Females |
Males |
Number Sense | 64% |
38% |
50% |
35% |
Measurement | 7% |
18% |
67% |
20% |
Geometry | 21% |
27% |
33% |
20% |
Patterning and Algebra | 0% |
27% |
33% |
30% |
Data Management | 29% |
18% |
33% |
20% |
I attribute single gender groups as the reason for the marked improvement in female academic achievement in math this year when compared to last year’s results with my students.
APPENDIX 7
More specific than appendix 6:
NUMBER OF FEMALES WHO ACHIEVED LEVEL 3
IN MATH IN THE SECOND TERM OF GRADE 6
--A comparison of two classes--
1998-1999 Term 2 |
1999-2000 Term 2 |
|||
MATH STRAND | Achieved Level 3 |
Achieved Level 4 |
Achieved Level 3 |
Acheived Level 4 |
Number Sense | 78% |
7% |
67% |
16% |
Measurement | 71% |
0% |
83% |
0% |
Geometry | 71% |
0% |
83% |
0% |
Patterning and Algebra | 86% |
0% |
83% |
0% |
Data Management | 71% |
0% |
92% |
0% |
Data was gathered and calculated in April of 2000.
APPENDIX 8
RESPONSES GATHERED AT THE ACTION RESEARCH CONFERENCE
(BRANTFORD, FEBRUARY 18, 2000)
When asked, “How can we gauge growth and awareness of gender issues in students and teachers?”, responses from educators were as follows:
When asked to list common teacher/student practices that may hinder or stimulate positive self-esteem of boys and girls on the classroom, responses were as follows:
When asked, “How can the school foster positive gender awareness at home and in the community?”, responses were as follows:
The final question posed was, “Using Bob Ogilvie as an impetus, how do we influence and help motivate positive change in teacher attitudes in relation to gender issues?”, and responses were as follows:
Bibiographical Note:
Name: Diane Clark
Current Position: Grade six teacher, Computer Site Administrator
Academic background: B.A. McMaster University, B.Ed. University of Toronto
Areas of Interest: computer technology, language, mathematics and action research
Mailing address: Lynndale Heights P.S., 55 Donly Drive South, Simcoe, ON, N3Y 5G7