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My name is Patrick Honner. I teach mathematics at Brooklyn Technical High School, a large, public, specialized high school in Brooklyn, New York. As a NYC public school teacher I have taught everything from Introductory Algebra to Multivariable Calculus.  I mentor student research in mathematics, and I am actively involved in extracurricular mathematics programs both in my school and around New York City. Math research is an instructional focus of mine. Independent, investigative, mathematical research projects can be crafted by and for students at all levels of knowledge, in all areas of interest. A primary objective of MrHonner.com is to exhibit the math all around us in order to stimulate question-posing and hypothesizing, the first steps in structuring a good research project. I am a two-time recipient of Math For America's Master Teacher Fellowship, and I am active in MfA's professional community.

"This is a really good way of testing out practical measuring skills in Maths lessons. I always teach 'measuring' by incorporating a Harry Potter themed Potions lesson. Pupils follow potion recipes to create potions from the Harry Potter universe, e.g. Polyjuice Potion or Skele-gro. I have a mixture of powders (cornflour), plants (herbs) and potions (water with food colouring). I then have pipettes, a range of different containers with different scales for measuring liquids, scales for measuring the plants and powders, in addition to gloves for handling the 'poisonous' plants, a pestle and mortar for the plants and stopwatches for timing."

A Kickstarter project for a children's math and science-oriented detective story: "This is the made up story about two very real girls - Ada, the world's first computer programmer, and Mary, the world's first science fiction author - caught up in a steampunk world of hot-air balloons and steam engines, jewel thieves and mechanical contraptions. For readers 8-12. "This is a pro-math, pro-science, pro-history and pro-literature adventure novel for and about girls, who use their education to solve problems and catch a jewel thief. Ada and Mary encounter real historical characters, such as Percy Shelley, Charles Babbage, Michael Faraday, and Charles Dickens - people whom the girls actually knew. If Jane Austen wrote about zeppelins and brass goggles, this would be the book."

A crowdfunding project, "Every week for a year we'll create a short video exploring a unique application of math in everyday life."

From the abstract: "The purpose of this study was to find out from current high school math teachers, of geometry specifically, what their views of technology are. The goal of the study was to ask these teachers which technologies they use and whether they believe technology has beneficial effects on student learning. Data was collected for the survey by asking teachers to take brief electronic surveys and conduct in-person interviews. All questions in both the survey and interviews were focused on the effects of technology that they see in their classrooms. The scope of the participants was restricted to Columbus, Ohio, and thus, generalizations for any classroom or any school building cannot be made. However, this study did find a consensus among the participants as to which technologies they felt were the most beneficial in their classrooms, as well as those that might not be needed at all in a classroom. The three technologies that these teachers claimed to be the most beneficial were SMART boards, TI-nspire calculators and Geometer's Sketchpad/GeoGebra. Again, this study cannot make solid conclusions, but it is safe to say that this study gives insight into teachers' viewpoints, which, in a sense, are more important than those of outside researchers. The teachers agreed on a few technologies that are the most beneficial and thus future studies should focus on really studying the effects of these technologies as well as focus on getting a wider range of teachers' opinions on this topic."

"This is an exploration of the hypothesis that unique belief systems depend for their coherence on distinctive patterns typically embodied in geometrical symbols in two dimensions. On the basis of that assumption, the case tentatively explored here is that of the "incommensurability" of the 5-fold Star of Islam and the 6-fold Star of David of Judaism -- both symbols appearing on flags of the nations having those distinct faiths. ... The approach taken here explores the possibility that the "pieces" only fit together on a three-dimensional surface, namely a sphere. It is the spherical geometry that then merits consideration, together with the challenge of how to get from any "mis-fitting" two-dimensional layout to a three-dimensional form. Of course, two-dimensional layouts are far more readily comprehensible. Hence the focus on them. However the three-dimensional layout has the potential of rendering comprehensible a far more elegant layout which may well exemplify intuitions characteristic of the faiths so dramatically opposed. The approach follows from various earlier explorations of the potential of mathematics to offer a new perspectives on these issues" ....

Published by University of Chicago Press, July 2012. "Math and science hold powerful places in contemporary society, setting the foundations for entry into some of the most robust and highest-paying industries. However, effective math and science education is not equally available to all students, with some of the poorest students-those who would benefit most-going egregiously underserved. This ongoing problem with education highlights one of the core causes of the widening class gap. While this educational inequality can be attributed to a number of economic and political causes, in Empowering Science and Mathematics Education in Urban Communities, Angela Calabrese Barton and Edna Tan demonstrate that it is augmented by a consistent failure to integrate student history, culture, and social needs into the core curriculum. They argue that teachers and schools should create hybrid third spaces-neither classroom nor home-in which underserved students can merge their personal worlds with those of math and science. A host of examples buttress this argument: schools where these spaces have been instituted now provide students not only an immediate motivation to engage the subjects most critical to their future livelihoods but also the broader math and science literacy necessary for robust societal engagement. A unique look at a frustratingly understudied subject, Empowering Science and Mathematics Education pushes beyond the idea of teaching for social justice and into larger questions of how and why students participate in math and science. " Excerpts in Google Books

An algebra project focusing on a theme which interests students is more likely to engage them in the project, so lets take a look at sports. Many students participate in sports at some level, whether as part of a school team or a community team. For the most part these same students do not understand the costs involved to host the sport. Also, they do not understand how much money is needed to ensure a profitable season so the sport can continue from year to year.

A good maths game where players fly a spaceship through a time tunnel, collecting fuel as you go. Set a clock to the correct time to go to the next stage. There are four different levels of time-telling ability. http://ictmagic.wikispaces.com/maths

Maths Solutions features experienced teachers demonstrating solutions to a series of maths problems that are known to challenge students. The solutions are presented as a series of short video clips displayed on the screen in a step-by-step format; in the same way as a teacher writing on a page or whiteboard. Choose the maths area that you need help with.

Fundamentals of Mathematics is a work text that covers the traditional topics studied in a modern prealgebra course, as well as topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who (1) have had a previous course in prealgebra, (2) wish to meet the prerequisite of a higher level course such as elementary algebra, and (3) need to review fundamental mathematical concepts and techniques. NOTE: This collection is a work in progress, and the content has not yet been marked up in CNXML. You can download PDF copies of individual chapters in from their respective modules.

Pi Cubed is a visual math application for the iPhone / iPod touch that lets you perform calculations as you would on a piece of paper. By using an animated, touch-based interface, even the most complex mathematical expressions can be entered and instantly evaluated. These expressions are typeset as they would be in a textbook or on a blackboard. Calculations are displayed with up to 34 digits of decimal precision. Additionally, a library of over 150 equations ships with the application.

GeoGebra: Do the Math is a series of screencast tutorials for teachers and/or students. The tutorials were initiated as a project to support Maine math teachers in the integration of technology in the classroom. What is GeoGebra provides an overview of the program and its capabilities. Several tutorials present the program's menu options and tools in step-by-step format. Another group of tutorials provides examples of GeoGebra learning activities in major math content areas. These tutorials are intended as a visual supplement to printed guides and documentation. GeoGebra users can find a wealth of guidance and examples at www.geogebra.org. A web search such as "GeoGebra Pythagorean Theorem" will yield hundreds of additional articles, examples, and applets.

"This is a maths resource that can be used to challenge pupils to complete a magic square, using only the numbers provided, to make sure that each row, column and diagonal all add up to the focused magic number. The resource provided challenges students to add up to 9, 12, 15 & 18, and could be used as a homework challenge, an additional classroom activity, or as a main activity within a maths lesson. Challenge pupils to work on two different methods for each magic number. This activity could be adapted with larger number, and other mathematic operations"

"Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to make this information system a reality will require much more than indexing and will instead depend on community input paired with machine learning, where mathematicians' expertise can fill the gaps of automatization. This report proposes the establishment of an organization; the development of a set of platforms, tools, and services; the deployment of an ongoing applied research program to complement the development work; and the mobilization and coordination of the mathematical community to take the first steps toward these capabilities. The report recommends building on the extensive work done by many dedicated individuals under the rubric of the World Digital Mathematical Library, as well as many other community initiatives. Developing a 21st Century Global Library for Mathematics envisions a combination of machine learning methods and community-based editorial effort that makes a significantly greater portion of the information and knowledge in the global mathematical corpus available to researchers as linked open data through a central organizational entity-referred to in the report as the Digital Mathematics Library. This report describes how such a library might operate - discussing development and research needs, role in facilitating discover and interaction, and establishing partnerships with publishers."

(abstract only, full text requires subscription or purchase) "We analyze the logs of an online mathematics game tournament, played simultaneously by thousands of students. Nearly 10,000 students, coming from 356 schools from all regions in Chile, registered to the fourth tournament instance. The children play in teams of 12 students from the same class, and send their personal bets to a central server every 2 minutes. Each competition lasts about one clock hour and takes place within school hours. Students are pre-registered and trained by their school teacher. The teacher is responsible for reviewing curriculum contents useful for improving performance at the game and coaches students participating in trial tournaments taking place a few weeks before the national tournament. All bets are recorded in a database that enables us to analyze later the sequence of bets made by each student. Using cluster analysis with this information, we have identified three types of players, each with a well-defined strategy. "

InBalance has been been developed by a team of European research and learning institutions.The purpose of the project is to support and develop adult tutors of numeracy and provide structured and engaging materials for learners of several abilities. InBalance is a realistic & systematic methodology based on the needs of individual learners & their practical everyday experiences.The InBalance website presents you with a European Numeracy Framework. It describes in detail European levels of competence in numeracy relating to real life situations. There is also a bank of learning materials & an assessment tool for you to use with your own learners; and an exercise maker which will assist you to create your own learning materials.

"A McNugget number is a positive integer that can be obtained by adding together orders of McDonald's® Chicken McNuggets" While these numbers are interesting in themselves, I'm particularly taken by the idea of building an interesting problem based on consumer or popular culture. What other prompts might we find in a similar vien?

"A McNugget number is a positive integer that can be obtained by adding together orders of McDonald's® Chicken McNuggets" Find the largest number that IS NOT a McNugget number.