Revamping Mathematical Thinking Through the Cloud

December 2, 2014

Along with the new mandated grade level content standards, the authors of the Common Core included transferable math principles coined Standards for Mathematical Practice. The overarching assertion is that these fundamental skills, at the core of the Common Core math standards, will launch American students to be college bound and meet the professional expectations of the 21st Century. The National Research Council claims that “the past 30 years indicate that U.S. students can adequately perform straightforward computational procedures, but their comprehension of underlying mathematical ideas is limited.” Clearly, the deficit in mathematical thinking is an educational problem that educators need to alleviate. I hoped to learn more about how to better support my particular group of learners with these practices through my Mills Teacher Scholars inquiry. -Tommy Gonzalez “When I grow up I want to be a math teacher," Ronelle typed in his digital math journal in Google drive. Within this same mathematical journal entry, written towards the end of the year, he Googled an image of math formulas scribed onto a window overlooking a collegiate gothic style university reminiscent of a scene from A Beautiful Mind. My year-long focus on mathematical thinking through daily journal reflections seemed to influence my students’ understanding and appreciation of math, but this had not happened without carefully calculated changes to my math pedagogy, student expectations, and instructional tools.

Searching for the Donut Hole: A Lesson in Reading Comprehension

December 2, 2014

 Jill E. Thomas has been teaching since 2002. She has spent the last 10 years in Oakland Unified School District at Life Academy where she taught everything from 9th grade English to PE to 12th grade English to 6th grade reading intervention. She has also blogged for Teaching Tolerance and Edutopia. Currently, Jill works as a Teaching Effectiveness Specialist supporting a teacher growth and development pilot in OUSD. In this piece she reflects on how learning partnerships with students, strengthened through her Mills Teacher Scholars inquiry, helped her better understand the limitations of how she been teaching visualization strategies to support students' reading comprehension. In my ninth year of teaching, I threw myself a curve ball and offered to teach a sixth grade reading support class. I’d taught reading for a number of years, but never in middle school. I thought I would mostly get schooled on preteens, and I certainly did, but I learned quite a bit about teaching reading too. As an English teacher in an urban school, the majority of my students have always been reluctant, if not struggling, readers. I’ve acquired a repertoire of reading strategies that I teach them to help address their needs. One of the classics is visualization. On the surface, it seems simple: create pictures in your head of what you read on the page in order to stay engaged and “see” what the text is about. But it turns out to be more complicated than that.

Middle School Science Literacy: Getting Students to Deeper Thinking

October 23, 2014

Julie Humphrey has a background in electrical and bio-engineering. She worked at General Motors, the University of Michigan, and Nicolet Biomedical, before she turned her efforts towards STEM education in 1999. Currently a middle school science teacher at Oakland School for the Arts in Oakland, California, she has seen a drop in enthusiasm as her female students enter middle school and is concerned that this is where we lose a large number of future scientists. Through her Mills Teacher Scholar’s inquiry, she sought to learn methods for increasing student engagement while deepening student content knowledge, supporting all students to remain excited and curious about science. “I was embarrassed, just like Darwin many times….” my 7th grade focal student wrote during our Theory of Evolution unit. This student, who previously reported not really “getting science,” clearly connected with Darwin’s life and times. But was there science in her response? I believe that engagement can be measured when students have learned curriculum deeply enough to be able to apply it. So at the beginning of the last school year, I covered traditional introductory life science topics and then assigned journal-based writing that would not only require students to display their new knowledge, but also give them the opportunity to apply it. When studying nutrition, students read articles on eating styles: omnivore, vegetarian and vegan. I asked them to choose one of the options - and defend that choice. Many students used direct quotes from the articles as the only evidence for their choice. I had hoped to see “comparing and contrasting” about the benefits and drawbacks of their choices but, in most cases, the writing did not exhibit an understanding of all the options and the impact that each choice might have on their life and health. After reflecting with my Mills Teacher Scholars colleagues on the poor responses, I realized that the problem was not that the students couldn’t think deeply, but that they needed more guidance in getting there.

Grammar Revisted

October 23, 2014

Annie Hatch teaches tenth grade World History and English and twelfth grade Writing at Life Academy of Health and Bioscience in Oakland, California. Her Mills Teacher Scholars inquiry work last year focused on student learning through explicit grammar study.  I taught almost no grammar for my first four years as an English teacher; I subscribed to the theory that students would learn grammar through writing. For my students-- 100% of whom were students of color who qualified for free and reduced lunch, 62% of whom were reading below grade level, and half of whom would be the first in their families to graduate from high school if they made it-- I knew it was imperative that they leave my 10th grade classroom being able to write well. And I believed, as Michelle Navarre Cleary claimed in a recent Atlantic article, “Just as we teach children how to ride bikes by putting them on a bicycle, we need to teach students how to write grammatically by letting them write.” So, I assigned many different writing assignments-- in a variety of genres-- and gave students lots and lots of feedback. I emphasized revision and taught mini-lessons on writerly choices. I hoped my enthusiasm for writing and the space to do a lot of it would be the golden ticket. After all, my teachers never taught me grammar and I turned out okay. But, English was my first language, and my parents both had college degrees. Teaching my students the way I was taught wasn’t working. My students’ writing was hard to understand and they frequently seemed stuck at the sentence or word level. I urged students to “get it all out on the page,” but they asked me for help starting each sentence and agonized about each word they put down. So, this year I did a 180. Instead of largely ignoring grammar, I began teaching weekly grammar lessons. Students started with the basics at lesson 1—nouns and verbs, and progressed to the more complicated—labeling sentence patterns and fixing run-ons and fragments. By lesson 21 students were asked to identify the relative pronouns and subordinators that make sentences complex. As I plunged into these weekly lessons, George Hillocks’s dire 1984 warning haunted me: “...teachers who impose the systematic study of traditional school grammar on their students... do them a gross disservice that should not be tolerated by anyone concerned with the effective teaching of good writing.” Gulp. So I set out to study my grammar practice through my Mills Teacher Scholars research in order to determine whether this practice was doing students a “gross disservice” or not.

Grappling with the Black Hole: Supporting Students’ Discussions About Text

September 24, 2014

Laura Alvarez is an 8th grade English teacher at Melrose Leadership Academy in Oakland Unified School District.  A long time Mills Teacher Scholar and part of the Mills Teacher Scholar team, she has focused her recent Mills Teacher Scholars inquiry work on supporting students' thinking and discussions around complex text. In this series of three connected blog posts, she discusses how looking at video data of student book groups broadened her understanding of student learning in this area and helped her respond in ways that moved her students forward.  As teachers, we’re often told to put students into groups. Group work has some kind of magical power in the world of education. Through group work, stronger students support their peers, students interact and construct learning together, the teacher isn’t the only authority or source of knowledge and expertise in the classroom, etc. But what actually happens when you put kids together has always been somewhat of a black hole for me as a teacher. In the midst of a busy class of 30+ students, it’s hard for me to listen in a focused way to one group of students. This year I decided my 8th graders were ready for me to let go and have them meet independently in small reading groups. With the Common Core’s focus on academic discussion and students grappling with complex text, I hoped that by letting go students would be pushed to take more ownership for their reading and discussions and be more self-directed in their meaning making. In setting up their reading groups, I tried to be as explicit as possible about the purpose--supporting each other’s reading development. The learning target was: “I can prepare for and participate in discussions about text so that everyone reaches a stronger understanding of the text,” and students regularly reflected and gathered evidence about whether they were meeting this target.  To prepare for their groups, students read the assigned chapter or chapters and wrote factual and/or interpretive questions to discuss with their group, along with the relevant page numbers. To help me grapple with the black hole of group work, I regularly audio recorded four focal students in their groups as part of my Mills Teacher Scholars inquiry work.

Book Groups: Re-thinking Assumptions about Grouping

September 24, 2014

Laura Alvarez is an 8th grade English teacher at Melrose Leadership Academy in Oakland Unified School District. In the second of her series of three connected blog posts, Laura discusses how looking at video data of student book groups prompted her to rethink student grouping practices and better support her students to have analytical discussions about their texts. One of my many unexamined teaching practices has always been to make heterogeneous groups, unless I was directly facilitating a guided reading group. So, for their Animal Farm book groups, I put students in heterogeneous groups based on their Scholastic Reading Inventory (SRI) scores. When I listened closely to my students’ discussions, however, I began to see a striking contrast between my two focal students who had higher SRI scores (Fabiola and Charles) and their groupmates with lower scores (Elisa and Alejandro). Fabiola and Charles had great discussions—mostly with each other—while Elisa and Alejandro asked questions, which sometimes sparked their groupmates’ discussions, but they responded minimally themselves. After their discussions, Elisa and Alejandro drew on Fabiola and Charles’ ideas in their written responses. However, I worried that they were not doing much grappling in the group (see my previous post) and that their academic status as “low” readers was being reinforced. For our next round of lit circles in the winter, students read three different novels and I grouped them almost entirely by novel choice. Elisa read The Hunger Games and met in a group with another boy who read below grade level according to the SRI and three students who were stronger readers but had low academic status for different reasons.

What’s a “Strong Reader”?: Looking Beyond Assessment Numbers

September 24, 2014

Laura Alvarez is an 8th grade English teacher at Melrose Leadership Academy in Oakland Unified School District. In the third of her series of three connected blog posts, Laura discusses how looking at video data of student book groups prompted her to think in a more nuanced way about what makes a "strong" reader. Listening to students’ conversations all year confirmed that the SRI was just one window into their reading abilities and that for some, like Elisa and Alejandro (described in my previous post), it was very incomplete. The Boy in the Striped Pajamas has a Lexile score of 1080, far above Elisa and Alejandro’s May SRI scores of 751 and 687, respectively, but they were able to successfully engage with the text collaboratively. During this time, many of my stronger readers with lexile scores above 1000 were struggling with The Book Thief, which has a lexile score of only 730. This led me to wonder what a Lexile score actually is and how a 30-minute computerized SRI test assigned them to my students. According to its creators, “A Lexile text measure is based on the semantic and syntactic elements of a text.” They caution that other factors affect how readers relate to books, including the book’s content and format and the reader’s interest, and that a lexile measure is only a starting point for selecting books. This caution is essential. As teachers, we’re often given assessment results as if they are some holy grail, some magical window into our students’ true capabilities. An easily administered computer test, like the SRI, which prints out neat reports with the click of mouse and efficiently allows us to group students, is very alluring. But reading is complex, and we really can’t open up kids’ brains to see what’s going on when they interact with text. The best we can do is open up little windows to peak through.

Promoting Oral Language Through Puppets

April 17, 2014

The Common Core Standards encourage teachers to provide their students structured language opportunities to engage with each other's  ideas. Alberto Nodal, a veteran teacher scholar and bilingual transitional kindergarten teacher in San Lorenzo, spent last year investigating the use of puppetry as a way to help promote oral participation amongst a wide array of language abilities. He found that with the right support, puppetry can be a magical way  to promote young children’s oral development. This past year I taught a Transitional Kindergarten/ Kindergarten combination classroom in the San Lorenzo Unified School District. I had a background in Early Childhood Education, but had never taught Kindergarten before. I knew the year was going to be a year of learning-not only for my students, but for me as well. Upon sharing an interest in ordering puppets for the school year, I was quickly told by many of my colleagues, “Those are a waste of money.  Students don’t know how to use them.”  I ordered them anyway and realized early on in the school year that puppets were actually a powerful tool I could use to captivate the attention of my often distractible students. They helped homesick students deal with adjusting to a new school environment and modeled for others appropriate and inappropriate ways of resolving conflict in and out of the classroom. In my classroom, during free choice time, students could play with whatever was in the classroom. Many of them gravitated towards the puppets, which had me thrilled. I thought to myself, “Students actually want to play with them and will use them as a speaking tool!” The Pitfalls of Puppets Without Structured Support I was quickly brought back to reality as I saw the first pair of puppets go flying in the air after having a boxing match moments earlier. My students, who up until this moment were sweet, happy 5 year olds, now looked like the children from Lord of the Flies, hitting each other with the puppets to see who would be the leader of the group. I took away the puppets and went back to the drawing board. Were my colleagues right? Were these puppets a waste of money? Could I have used the money on something more worthwhile? Initiating my inquiry project, I asked the class questions to find out what purpose they thought the puppets served in the classroom. What I found out was that they saw the “puppet shows” as something teacher controlled- a tool I used to amusingly highlight the naughty behaviors some of my students displayed. I knew that despite the magical effect my puppet shows seemed  to produce when in my control, I needed to put the puppets back in the hands of my Kindergarteners: I had to find a structured way to support my students to to use the puppets and get them to speak up.