Math and Maritime Place-Based Learning
Rig up the mast, batten down the hatch and come sail away with the educators at the Blue Heron School in Port Townsend, Washington as they embark on their exciting project: Math and Maritime Place-Based Learning – M²PBL. The district’s Maritime Discovery Schools Initiative (MDSI), implemented in 2014, is guiding their transformation by encouraging teachers to change instructional pedagogy, increase student engagement, and experience connections between classrooms and business partners. This proposal develops 30 teachers over three years.
What exactly is the Math and Maritime Place-Based Learning – M2PBL?
Research has shown these educators that students benefit highly from using a Math Workshop (MW) model.
When executed successfully, MW models support a culture of underlying beliefs:
- all students are capable of quality thinking;
- participation through hands-on activities and discourse builds student thinking;
- through true engagement, all young minds can make real sense of mathematics.
An engaging environment is also the premise for Project Based Learning (PBL), where students use 21st century skills to learn collaboratively while working on projects to benefit themselves and others. The M²PBL proposed a structure for K-8 teachers to collaborate and design sense-making math environments tailor made for their students.
Through deepening knowledge of the Common Core State Standards in Mathematics (CCSSM) – particularly in Number and Operations, Measurement, and Geometry – teacher teams (K-2, 3-5, 6-8) focused on:
1) Number Talks (NT), a workshop element where students apply and verbally share strategies to solve and improve mental computations (number fluency),
2) PBL projects to apply students’ growing math strategies and conceptual knowledge. The MDSI promotes community partnerships between the school district and maritime-related industries.
As exciting as this is for the teachers, when the students get involved it brings it to another level. The educators are partnering with Port Townsend Sails, a local business specializing in “quality sails for traditional and modern rigs.” Teachers, students, and employees will collaborate to explore authentic mathematics on-site in the sail loft. There, and in classrooms, student mathematicians will count and measure to possibly build boats, design sails, and and/or navigate!
What were the goals for M²PBL?
They had two primary goals to accomplish in year one. They wanted answers to the following questions:
- How do Number Talks increase the quality of students’ number fluency?
- Does authentic application of number fluency deepen student learning in project-based mathematics?
Eleven teachers initially met for professional learning in an elementary group and an intermediate group; each grade level met for two full days (early fall and mid-winter).
Those teachers recorded 10 half-day visits into classrooms (using a substitute) which totaled to around 15-20 visits arranged during planning times and/or with colleagues to “step out” for a short period to observe. One teacher also requested a grade level team observation one morning, so three teachers not technically a part of the grant this year joined in on observations of Number Talks. This was a productive way to share knowledge around fluency outside of the core group. Teacher texts, classroom fluency instructional materials, and PBL supplies were purchased. Items included: student journals, chart paper/markers, wood (for boats), bird feeders, bird ID texts, meter tapes, weights, calculators (specifically for order of operations), and math manipulatives for Family Math Night (dice, spinners, etc.). There, two classes taught fluency activities to parent/students, and the activities went home for continued learning. In-kind donations included dowels (masts), sail cloth (from PT Sails), sand paper/wood pieces for sanding blocks from the high school shop. Volunteer support was received from parents (chaperones), the Schooner Martha captain and family, the Northwest Maritime Center/Wooden Boat Foundation shop personnel, Carol Hasse and crew of Port Townsend Sails, the PT High School STEM/maritime students, and parents to help first graders drill boats for the mast and to tack sails to masts.
What were some of the challenges?
As we can see, they’ve been busy this year. But like all new project ideas, they are not without challenges. The biggest challenge was the collaborative work that required teachers to be out of their classrooms. One participant asked that her grade level team be able to collaborate around classroom observations, and that was accomplished. It’s also been more difficult than anticipated to get teachers to keep up with data collection. But they are already coming up with ideas on how to improve next year. Things like: 1) Supporting a full day of professional learning around math fluency/PBL for any teacher not involved in year one who volunteers (sub time/materials stipend); 2) Supporting grade level teams to collaborate around math fluency through collegial visits/observations (sub time); 3) And finally, approaching Port Townsend Rigging Company as an additional maritime partner to help expand and grow the program for years to come.
All in all, it’s an exciting project to see come together. We’re all waiting with bated breath for this ship to come back to harbor with tales of their next success.
- Project-Based Learning: Students actively investigate solutions to complex, long-term challenges, often in groups
- Problem-Based Learning in Mathematics: ERIC Digest
- Maritime Discovery Schools Initiative
- Maritime Discovery update: Students helping salmon
Waltham Integration Network: Connecting Teachers to Investigate and Improve Digital Learning Across Contexts
It’s easy, as an educator, to feel like an unmoored ship in a vast sea. Pricks of light in the distance indicate other ships, largely unreachable. Even though teachers in the same districts and schools work closely in a physical sense the gulf of communication can be vast and many good ideas and techniques are not shared and refined amongst a larger pool of minds.
This is what Elizabeth Homan, of Waltham Public Schools in Waltham, MA, is changing with her program Waltham Integration Network: Connecting Teachers to Improve and Investigate Digital Learning in Urban Settings. While the name is complicated, the aims are simple. This project proposed to bring together a small group of teacher leaders from across an urban school district to engage in collaborative inquiry and teacher-research related to the integration of digital technologies in classroom practice. The goal of this project is twofold: (1) research the challenges and possibilities of digital integration in a high-needs urban school district, and (2) increase the capacity of the district’s digital professional learning opportunities for teachers.
How can collaborative inquiry for teacher development work?
By keeping research at its center, engaging teachers in conversations about “what works” for their digital learning, and helping teachers support their colleagues in reinventing their teaching to meet the needs of today’s very “plugged in” learners. The first year was largely preparatory with an articulation of goals and a formulation of an action plan that would turn into quarterly meetings.
At the start of the project, cohort members worked to identify the student learning goals for the year and articulate how their goals could be measured using qualitative or quantitative classroom data. These goals could be as simple as learning how to create and fully integrate a new tool, such as a classroom website, or it may involve an entirely new approach to instruction, such as “flipping” the classroom. Later in the year, team members shared classroom artifacts, lesson plans, and examples of videotaped practice from their classrooms with other team members in quarterly face-to-face workshops, connecting their practice with research-based approaches and examples.
The project will continue to meet these goals through recruitment of additional teachers, teacher mentorship of new recruits, sharing teacher work through the blog and, in the summer, development of video evidence of teacher practice with technologies.
How can collaborative inquiry impact educators?
The educators at Waltham Public Schools have been busy. In their first year they have recruited research assistants to help mentor teachers at the middle and elementary school levels. They have also developed a number of #WINproj spaces for sharing practice. From their blog (walthamintegrationnetwork.org) to their twitter hashtag (#WINproj) and Facebook page, these educators have worked this year to foster a digital voice for the network and to develop consistent expectations around the content and design of their website/blog and social media interactions. The teachers have worked throughout the year to archive photos, examples of student work, or videos of their practice, which they will use this coming summer to develop video reflections on their experience and what they have learned. And because the project and leader are new to the district, much of this year has been about building relationships, learning what’s happening in the buildings, and building excitement for the project.
How can collaborative inquiry improve instruction and pedagogy?
The first and most obvious benefit is a larger network of teachers and educators who have bridged the communication gap. Partnerships between teachers have formed both online and in person. The teachers are also becoming increasingly proficient with web writing and familiarity with the online tools such as the blogs and message boards. It’s clear they’ve been doing something right as they’ve been asked to present at the National Council of Teachers of English in November which will serve to get the word out about the program and widen the network of the educators involved.
How could this program be improved?
According to the team, the biggest challenge the program participants faced was that of time. Not expectantly they had trouble with the temporal logistics of getting so many teachers in the same space physically. More support and training for online meeting spaces is paramount for the growth of this project.
On a lesser, but no less important note, they found that some teachers needed to get acclimated to blogging. While they’re perfectly proficient in the classroom, the public articulation of methods of pedagogy doesn’t come easy for everyone. More support for first time bloggers would have a large impact on the productivity and communication between all parties.
We talk a lot about how isolating it can be to be a teacher, but nowhere is that more apparent than in small, rural districts. The teachers there are often the only instructor for a single subject. This is especially difficult for such an important and variable subject as mathematics. As Phillips and Hughes explain:
“Too often, teachers do not have sufficient opportunities to work together to examine work and structure interventions within their classrooms.
As the new standards are implemented, we must ensure that teachers are not left alone to figure out how best to teach to them.
The standards are an opportunity for greater collaboration, fresher thinking, and a rearticulation of shared goals for teachers and students.
By collaborating with each other and with instructional specialists through cycles of examining student work, creating hypotheses about how to implement common-core-aligned lessons, implementing them, and making adjustments in their practice in real time, teachers can find the best ways to help their students reach these higher expectations while still maintaining individual styles and flexibility.” (2012, Education Week)
With multiple levels and subjects within it, math is a daunting subject to teach. But that’s what the educators at West Elementary School in Manhattan, Kansas plan to do.
What is Project RENEW?
Project RENEW emphasizes the development of deeper content knowledge among teachers, as well as pedagogical knowledge aligned with a standards-based approach to content teaching. By building a cadre of elite math educators, the teachers at West Elementary School aim to create an easily adoptable model to improve math scores within their district and beyond.
What are the project goals?
With the adoption of a much more rigorous set of standards, Common Core Standards for Mathematics (CCSSM), the teachers at West Elementary realized that they must rethink how they teach mathematics. So, they came up with the following goals:
- Increase student achievement in mathematics for ALL students in grades K-12.
- Strengthen the content and pedagogical knowledge of K-12 teachers.
- Increase the implementation of CCSS-based mathematics instruction and curriculum in K-12 classrooms.
- Strengthen and expand existing leadership opportunities for teachers in mathematics to enhance collaboration to address the needs of K-12 schools, especially in small rural school districts.
The project proposed that by completing goals two through four (strengthening teachers, instruction and math leadership) that goal one (improved student achievement in math) would follow shortly after.
How did this project strengthen teaching in mathematics?
Project participants attended a summer math academy to develop CCSSM aligned curriculum and tasks. This academy helped the group understand their current practice and focus on ways to improve it.
First, teachers were pre-tested on their mathematical knowledge in relation to how they would implement mathematical practices in the classroom and had to submit an “action plan related to these practices and instructional strategies used for implementation.”
Next, they were observed during instruction and given feedback during professional development sessions.
In addition to this, teachers in smaller districts nearby that do not have funding for professional development and/or resources were contacted by the teachers from Project RENEW. Together, they were able to share resources and provide professional development for these small districts. Funds provided by McCarthey Dressman Education Foundation were also used to purchase new materials for the academy, so they were able to box up their “used” standards-based textbooks, load them up in a truck and delivered them to four different districts in the area.
How did this project impact the math instruction?
After a year of funding they’ve improved “by leaps and bounds and are ready to tackle the next steps” according to the project report.
The difference between the teacher Pre-Test and Post-Test was phenomenal. The average score starting out was a 2/7 correct responses and by the end that average had improved to 5/7. That’s 42.8% improvement in teacher knowledge of how to implement math instruction for CCSSM.
Teachers were also observed showing marked improvements on their in class instructional skills, particularly in the realm of “providing problem solving opportunities for their students, requiring productive struggle and discourse.”
To further extend the benefits of the program in their community, the teachers involved in the project were also responsible for disseminating what they learned in professional development sessions with the smaller districts.
What knowledge would they share with teachers exploring similar projects?
Like many of these ambitious projects one of the hurdles that must be overcome is the lack of resources. Even with the grant funding, they were unable to accommodate all the educators they would have liked to. The waitlist for additional involvement is long and shows no sign of letting up, much to the disappointment of those who know the project’s promise. In the future, they plan to video tape the lessons to help smaller districts to gain access to this valuable resource. This will be a focus in the year to come.
Also of note, the implementation of this program might encounter challenges operating on a larger scale due to the vast time requirements put on the educators and the stipends needed to cover their time. They hope that in the coming years that the texts, videos, and seminars resulting from this program will be able to be adapted for use by other districts and schools around the country.
- Report: Teacher Leadership Is Key to Common Core Success (2015, THE Journal)
- Teacher Leadership, Collaboration, and Common Core State Standards (2015, Learning First Alliance)
- Teacher Collaboration: Keys to Common Core Success (2014, AMLE)
- Teacher Collaboration: The Essential Common-Core Ingredient (2012, Education Week)
It’s no secret that Lesson Study works.
There are many, well documented success stories and it has been used to great effect in Japan.
There’s a reason Japanese students consistently score in the top ten in the Organization for Economic Operation and Development’s Programme for Student Assessment. But today’s blog isn’t about Japan, it’s about improving the quality of elementary level science instruction and how the educators at Long Branch Elementary in Liverpool, New York are doing it.
What is lesson study?
For those that may not know, Lesson Study is a widely utilized collaborative professional development practice (2015, Wikipedia). Lesson Study starts with a group of educators that pick a content focus with the express purpose of preparing a research lesson. That group will convene regularly to share research, discuss national, state and local education policies and standards correlating to the subject at hand. This enables teachers from a wide variety of subjects and disciplines to cross-pollinate their ideas and research with one another in a directed and focused environment. By observing and critiquing each other’s lessons and delivery these educators are able to elevate each other’s abilities and knowledge base. And by the transitive property, the students are exposed to a well-constructed lesson plan.
How are the teachers at Long Branch Elementary using lesson study?
These educators decided to focus their lesson study efforts on the sciences, including studying a national framework for science education and how they could adopt it to fit their specific needs.
According to their proposal, they wanted to be guided by the following three questions:
- How do we design science instruction that makes students’ thinking visible?
- How can we meet our students’ needs and simultaneously address the new science framework?
- How will evidence of students’ learning be used to help us revise our original lesson?
What did they learn?
The project at Long Branch Elementary has been so successful that their program and teaching tools have spread to two other schools in the region, with educators from those schools now participating in the lesson study program. In addition, at the time of their report, they had three out of the four research cycles completed and implemented, with the final research team in the midst of their own cycle and well on their way to completion.
The educators participating expanded their knowledge base about claims/evidence, science content knowledge, and constructivist methods for teaching elementary science. The teachers also expressed “self-efficacy and confidence in regards to teaching claims and evidence, using inquiry-based instruction and teaching with student science notebooks.”
Teachers weren’t the only ones to benefit. Students had the opportunity to collect data, engage in scientific experimentation and increased the level of science knowledge throughout the course of the cycle.
How did Lesson Study support improved science instruction?
Understandings gleaned from the Lesson Study were used to inform instruction. For example, educators learned that it can be difficult to facilitate discussions with students with varying levels of comfort with the subject matter. Teachers report that teaching students to make claims based on evidence has been a bit of a pedagogical challenge, as the students tend to confuse evidence with claims. They also found that without visual aids, such as graphs and charts, the difficulty in communicating these ideas increased exponentially. These valuable understandings of what wasn’t working in the science research lessons provided educators with specific modifications they could make in their lessons to make student learning more effective.
What did they learn about implementing Lesson Study?
The structure of their school is not very supportive of lesson study which has forced them to start their meetings during the summer. They found they cast too wide a net when it came to getting the research groups started and think that scaling down the research lessons will improve the speed in which they can be implemented.
How can you make this work at your school?
Research and texts on lesson study are not hard to come by. The biggest challenge you can face is that your school does not have the time or resources to implement the necessary bits and pieces at study inception, however, once the process gets going the road gets easier as the work invested makes future studies easier. Bottom line? Lesson study works. Make it work for you.
Learn more about Lesson Study
Collaborative Planning for Project Based Learning
Teaching, despite being surrounded by literally hundreds of human beings on a daily basis, can be a very isolating profession. An educator could be likened to being a single island in an archipelago. While they are a part of an entity larger than themselves the vast gulfs that separate them keep them from fully benefitting from each other’s resources. Coupled with the daily slog through textbooks, homework, and testing, it’s easy to see how a teacher’s passion for education could wane. Is collaboration with other teachers a way to improve teaching and learning? The educators at San Francisco Community School (SFC) proposed exactly that in the Collaborative Planning for Project Based Learning project funded by McCarthey Dressman Education Foundation.
What exactly is Project Based Learning (PBL)?
According to the Buck Institute for Education PBL is “a teaching method in which students gain knowledge and skills by working for an extended period of time to investigate and respond to a complex question, problem, or challenge.” You can learn more about types of PBL from John Larmer at Edutopia. Put more simply, it’s learning by doing. PBL is a model that shifts its focus away from a teacher-centric approach and emphasizes student directed assignments. With a focus on relevant assessment and real world relevance, PBL is a very exciting alternative for both students and teachers to traditional classroom learning.
What are the benefits of PBL for teachers and students?
According to the National Education Administration, PBL “makes learning relevant to students by establishing connections to life outside the classroom and addressing real world issues. In the classroom PBL gives teachers an opportunity to build relationships with students by acting as their coach, facilitator, and co-learner.” In the past few years the increased access to technology in schools, even underprivileged ones like SFC, makes this type of learning much more accessible. The large format of the projects also lend themselves to being easily shared between teachers and with parents who are invested in the student’s learning process.
How are the educators at SFC implementing PBL?
It’s not an easy approach, especially if you have limited resources and time. According to the original proposal by Jessica Fishman, who is spearheading the project, “The Collaborative Planning Project (CPP) will allow SFC teachers to work together for three days in summer study groups to establish essential learning objectives, develop long-term project-based curriculum and develop common learning strategies for the coming year.”
The teachers used the text Understanding by Design by Wiggins & McTighe as their guide as they work through the ideas of backwards design and the building blocks of project based learning. The teachers were also be divided into groups based on grade ranges so that, when sharing, they could manage and engage each others needs and expectations as students moved through the school. This collaboration will create essential bridges between educators so that ideas and proposals may flow more easily between them.
After two years of implementation, where are they now?
Jessica Fishman was happy to report that the project met or exceeded all the goals they had set.
According to the proposal the goals were as follows:
- Project-based learning methods to support student learning in real-world, meaningful challenge-driven projects.
- Teachers will identify and develop performance-based assessment opportunities and rubrics that are aligned to the projects and indicate the extent to which students have mastered the essential learning outcomes.
- Culturally-relevant instructional strategies designed to engage and support students who are traditionally under-served by public schools.
- Vertical alignment and calibration of expectation and rigor K-8.
By working in their individual grade level groups the teachers created concrete plans for their fall cycle. Not only did they create a solid collaboration plan, they created a set of assessments along with K-8 vertical integration and alignment. The problem they’ve run into both years was that very few teams had time to do initial planning. As a result, many teams were forced to meet again over winter break to finish their planning for the spring. The extra time spent in each others company only strengthened the personal and professional bonds between their educators. Now, with the project plans in place, it’s a much smoother transition for new teachers joining the project.
When teachers are able to truly collaborate it opens up worlds of opportunities, not only for the students, but for the educators as well. There is no reason to cease learning, especially when one is a teacher. The benefits of project based learning are clear, but the added collaboration between educators will only amplify that effect.
Addressing the Knowledge Gap
Among the many challenges facing us in education one of our most formidable foes is the comprehension gap, across all content areas, between students of low socioeconomic status and those of high socioeconomic status.
E.D. Hirsch, The Case for Bringing Content Into The Language Arts Block and for a Knowledge Rich Curriculum Core for All Children American Educator, Spring 2006.
[T]his neglect of [content] knowledge is a major source of inequity, at the heart of the achievement gap between America’s poor and non-poor”
The Importance of Literacy Skills
While there are many factors that attribute to poor performance, one of the chief offenders is a lack of literacy skills. This is often noted at the college level when students are forced to take non-credit developmental education classes just to catch up to the basics. This both demoralizes the student as well as extending the amount of time they have to spend in, and thus pay for, college.
By expanding literary sources, however, we expand the sphere of knowledge surrounding the content areas. Students can gain a broader context of how a given subject fits into the larger narrative of the real world.
“If they want their students to learn complex new concepts in different disciplines, they [content teachers] often have to help their students become better readers…”Chris Tovani in her text Do I Really Have to Teach Reading?
Peer Assistance and Review (PAR): A Teacher Development Project
Teachers need to move beyond textbooks to increase their literary skills so that they can better communicate their subject to students. So how do we get a teacher to step away from the science textbook and into some Sagan or Hawking?
One of the ways we can work to address the knowledge gap is through the model of Peer Assistance and Review. In order to address inequity, our featured project at The School of the Future has done just that. With a Teacher Development Grant from McCarthey Dressman, The School of the Future helped improve the overall literacy of their teachers and subsequently their students.
Supports for Improved Content Literacy for Educators and Students
- Collaboratively Created Curriculum
Teachers in high school met after school and collaborated to develop, create, and implement a curriculum that would enhance their students’ ability to read and write in the content areas (History, Math, Science and Technology) across the 11th and 12th grade.
- Shared Texts Across Content Areas
The group worked together to come up with a list of shared texts across content areas. While history and science have obvious literary sources outside the textbook, with a subject like math the teachers could study the history of math and biographies of mathematicians to give a wider scope to how the content area applies to the real world.
- Content Literacy Support
Included was a training program for inexperienced or ineffective teachers to improve their literacy skills across their content area, specifically focusing on grades 11-12 to start.
The Difference: Educator Driven Approach
The difference between this program and previous initiatives aimed at teaching reading in the content areas was that previous efforts were top down administrative mandates that focused on ensuring uniformity in how reading, whereas the current effort was focused on expanding the teacher’s actual knowledge base. Past “one size fits all” approaches to teaching reading in the content areas failed to account for the fact that students read different types of texts in every content area.
The unique aspect to this program is its need for a personal “buy-in” from the teachers. Not a monetary buy-in, but those teachers who want to get involved will need to be willing to pull up their sleeves and put a little more time on the table.
The Impact: Students Identify and Analyze Printed and Non-Printed Texts
What have the teachers accomplished with this project?
During year one, five teachers (half the 11th/12th grade team) studied professional literature in their content areas to be able to implement a plan for teaching students to independently identify and analyze multiple non-fiction printed texts and non-print texts, at the student’s own instructional level, appropriate for the content of the class. Classroom visits and observations of each other in the form of Lesson Study, analysis of student growth, refinement of practice, creation of videos, continued throughout the year. In year two, participants in year one become “Anchor” teachers and shared best practices with the half of the team that was not previously involved (“Innovator Teachers”). For year three, the 11th/12th grade teacher team will mentor the 9th/10th grade team.
PAR provides teachers with the opportunity to work collaboratively to improve professional development. But it is not easy; successful implementation of PAR requires commitment, time, resources, cooperation and flexibility from the teachers involved. In successful PAR projects teachers play a key role in the support, assistance and review of their colleagues. Everyone has to pull their weight for the program to be successful
Teachers can look to existing program models, such as the California Peer Assistance and Review program to get some idea on how they can best start their own. Those who have experienced it emphasize that PAR models should only be used as reference tools, not as fixed templates, which could hinder the development and implementation of plans tailored to meet individual schools and students needs and goals.
Learn more about PAR