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This is Numberphile. We mainly post videos about mathematics and just numbers in general.

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"I didn't say we should kill him!" - Intonation, Sentence Stress and Murder.
A designer lessons ESL lesson plan developed by George Chilton Lesson aims:
This is an interactive lesson that encourages the students to be creative and use natural language. The focus is on intonation and sentence stress, and can be adapted to suit your class as need be. Optionally, you could download this plain 4 slide powerpoint presentation with teacher lead intonation and sentence stress exercises. The presentation itself is easily adaptable and follows the suggested structure of this lesson.
Stage one - Mingle

To practise intonation

To practise sentence stress

To create a dialogue using natural English

Write the word "Hello" on the board (or use the powerpoint).

Ask your students what they think is more important; what you say or how you say it.

You'll get various answers - mostly along these lines:

*Can change/affect the meaning of a sentence.

*Can cause misunderstandings.

*Is as important as your choice of words.

Get your students standing up and point to the word Hello.

Ask your students to walk around saying Hello to one another, in the following ways:
Stage two -Hum what's next

*As if it were to their boss.

*to their best friend.

*to an attractive man/woman at the bar.

*to a six month old baby.

I love your mother's cooking.

I love your mother's cooking.

I love your mother's cooking.

I love your mother's cooking.

I love your mother's cooking.
Stage Three - Murderousness

The bold text indicates where the stress lies.

I didn't say we should kill him.
Follow up - Dangerous Dialogue

Examples of meaning:

Put your students into groups (7 groups is ideal, but fewer would be fine). Designate a number to each group and tell them that is the stress they will be looking at.

I.E - group 2 will stress the word "didn't."

The group must then write a dialogue containing that line and using the correct stress and relevant meaning. Each group can perform to each other at the end of class. Monitor, perform on the spot corrections and use the time left over to correct repeated errors.

Designer Lessons by George Chilton is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Creado a partir de la obra en designerlessons.wordpress.com

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"I didn't say we should kill him!" - Intonation, Sentence Stress and Murder.

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A designer lessons ESL lesson plan developed by George Chilton This is an interactive lesson that encourages the students to be creative and use natural language. The focus is on intonation and sentence stress, and can be adapted to suit your class as need be. Optionally, you could download this plain 4 slide powerpoint presentation...

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Master English grammar with Dave's ESL Cafe's Grammar section. Our comprehensive resources aid educators and students in understanding complex grammar rules. Enhance your language skills, making teaching and learning English more effective and enjoyable

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Virtual money manipulatives | Oryxlearning

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Oryx Learnings virtual money manipulatives is an easy way to teach students about the value of money, how to count, add and subtract money.

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

Which One Doesn't Belong?

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

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ELLLO - English Listening Lesson Library Online

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ELLLO stands for English Listening Lesson Library Online and features natural English lessons that come with quizzes, vocabulary training, and free printable worksheets. ESL students and teachers can access over 2,000 free lessons that feature World English with speakers from over 100 countries.

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Educators around the world are entering digital lesson design with varying experiences and expertise. Our HyperDocs Online Academy is your source for learning about designing and delivering the engagement-driving digital lessons we call HyperDocs. Our course instruction method is what we call 'just in time teaching' so that you can take on new learning when you are ready, and explore the Academy at your own pace.

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Storybird - Read, write, discover, and share the books you'll always remember.

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Become a better writer with Storybird's creativity tools. Online courses, challenges, and reader feedback will help you improve your writing.

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The page you are looking for could not be found.

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LINCS | Adult Education and Literacy | U.S. Department of Education

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The Teaching the Skills That Matter in Adult Education project (TSTM) trains teachers to integrate the skills that matter to adult students using approaches that work across critical topics. Using the project's tools and training, adult education teachers can teach the transferable skills students need in these critical contexts.

The 9 skills that matter are:

Adaptability & willingness to learn

Communication

Critical thinking

Interpersonal skills

Navigating systems

Problem solving

Processing & analyzing information

Respecting differences & diversity

Self-awareness

The 5 topic areas are:

Civics education

Digital literacy

Financial literacy

Health literacy

Workforce preparation

The 3 approaches that work are:

Integrated & contextualized learning

Problem-based learning

Project-based learning

The following resources can help you to integrate these skills into your classroom.

Teaching the Skills That Matter Toolkit

The TSTM Toolkit was developed by adult education experts to support teachers in using approaches that work to help students gain the skills that matter. The toolkit has seven sections:

The Overview section introduces the key toolkit components;

Five topic-based sections each including an issue brief, a case study, lesson plans, and an annotated bibliography; and

The Other Tools and Resources section, which has additional tools and resources to support the integration of the skills into your instruction.

What Past Participants Have Said

TSTM Benefits

Implement research and evidence-based units/lessons that support standards-based instruction and the skills that matter for students

Collaborate and become part of a learning community with adult educators from other states focused on improving instruction

Developed units and lesson plans based on effective elements of instruction

Receive individualized coaching from national content experts

Collaborate with other state professional developers and project experts

Build on current instructional skills that matter for ABE and ELA students

TSTM States Map

Over 30 states have been TSTM trained. To find out what is happening in your state with TSTM implementation, please contact your state PD leader.

Background and Contact Information

The Workforce Innovation and Opportunity Act (WIOA, Pub. L. 113-128, July 2014), the first major reform in the publicly funded workforce system since 1998, increases access to employment, education, training, and support services for individuals, particularly those with barriers to employment. Title II of WIOA, the Adult Education and Family Literacy Act (AEFLA), presents an extraordinary opportunity to improve the quality of life for individuals with low skills. WIOA Section 203 encourages programs to provide instruction tied to "activities, programs or services designed to help an individual acquire a combination of basic academic skills, critical thinking skills, digital literacy skills and self-management skills, including competencies in utilizing resources, using information, working with others, understanding systems and obtaining skills necessary for successful transition into and completion of postsecondary education or training, or employment." (WIOA, Pub. L. 113-128, Section 203, July 2014).

Based upon public comments received during the WIOA rule-making process, technical assistance conversations with states, and ongoing community of practice conversations in LINCS, it is clear to OCTAE that adult education teachers need support and training in how to meaningfully integrate these skills (i.e., the skills that matter) into regular adult education classroom instruction.

Teaching Skills That Matter in Adult Education is being conducted by the American Institutes for Research, under contract to the U.S. Department of Education. For more information, please email tstm@air.org.

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Teaching Skills That Matter in Adult Education

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The Teaching the Skills That Matter in Adult Education project (TSTM) trains teachers to integrate the skills that matter to adult students using approaches that work across critical topics. Using the project's tools and training, adult education teachers can teach the transferable skills students need in these critical contexts.

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WordGen Weekly: Academic Language Development | SERP

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Join the national conversation. Wordgen Weekly provides middle school students the tools and strategies to expand their academic language development.

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The College & Career Readiness Standards for Adult Education (CCRS) is the document that lays out the standards for English Language Arts/Literacy, Math, and Foundational Reading Skills. CCRS is one of the three components - along with the Transitions Integration Framework (TIF) and the Northstar Digital Literacy Standards - of the Minnesota ABE content standards.

The CCRS in Action PLC is a "light" version of the CCRS Implementation Cohort that includes a facilitation guide, Google Slides presentations, and all accompanying materials needed to lead the PLC in your program - for ELA, Math, or both. The PLC uses the same tools for instructors to practice analyzing lessons, units, instructional tasks, and resources that are used in CCRS Cohort. There are many opportunities to customize the PLC to fit the needs of your program. It was designed for eight 90-minute meetings, but can be adjusted to fit your needs.

This glossary contains general, ELA-specific and math-specific terms to help you with your CCRS implementation and support of colleagues in your program. This resource also includes some terms specific to the ELA and math shifts.

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The College & Career Readiness Standards for Adult Education (CCRS) is the document that lays out the standards for English Language Arts/Literacy, Math, and Foundational Reading Skills. CCRS is one of the three components - along with the Transitions Integration Framework (TIF) and the Northstar Digital Literacy Standards - of the Minnesota ABE content standards.

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LINCS | Adult Education and Literacy | U.S. Department of Education

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LINCS ESL Pro Resource Collection

This site offers evidence-based resources to enhance the impact of adult English Language Learner (ELL) instruction nationwide and in your community. Each topic-driven suite of resources includes an issue brief, online learning module, and a companion learning resource for educators.

Developed to complement and build upon one another, each suite offers multiple approaches to learning. Whether you are an ESL teacher, administrator, professional development specialist, policy maker, or researcher, these professional development and lesson planning tools provide insight and tangible support for the work that you do with and for adult ELLs.

Learn More About

Using These Resources

Follow these steps to make the most of these resources:

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LINCS ESL Pro Resource Collection This site offers evidence-based resources to enhance the impact of adult English Language Learner (ELL) instruction nationwide and in your community. Each topic-driven suite of resources includes an issue brief, online learning module, and a companion learning resource for educators.

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There are two different ways to navigate to the page you are looking for.
1. Hover over any heading on the main menu and you'll see a drop down menu. Click on the desired page to open it.
2. If you are having difficulty navigating the drop down menus, click directly on any of the main headings. This will open a page that has links to all of the pages in that category. Click on the desired link to open that page.

Welcome To The Sound City Reading Website!

If you are interested in phonics materials to teach beginning reading or to help older students become better readers, you have come to the right place. The Sound City Reading materials are designed to help children learn the phonics patterns that are needed to become successful, independent readers. ​The instruction is suitable for a wide range students, including dyslexic students. The materials are set up in a sequential fashion, from the readiness level through second grade and up. ​ I hope that you will find them useful.​

To see a summary of the instructional books available on this site, click here.

To see the PDF files for the Sound City Reading instructional materials, click here.

How To Get The Sound City Reading Materials
You can download free PDF files for all of the Sound City Reading materials from this website without charge. You will then be able to print them to use with your students. Physical copies of the books are not available. You will need to print them or have them printed at a print shop. ​

There is no charge for the PDF files. You may print them at home, at school, or at a print shop for your own use. All materials are copyrighted by Kathryn J. Davis, however I give permission to teacher, tutors, parents, schools, and school systems to print and use the materials for their own students. The materials are not to be sold commercially. ​

You may download all of the files you are interested in so that you can use them in the future directly from your own computer. To print the books, see the recommendations found in How To Work With PDF Files, and Printing The PDF Files. ​

At one time I had an online store as part of this site. I'm no longer offering physical copies of the Sound City Reading materials to purchase. You will need to open PDF files from the main menu and look for the materials you want to use. You can save them to your computer or print them directly from this website.

Instructional materials in this program include student books and workbooks, flashcards, phonics charts, and learning games and activities. To see an explanation of all of the materials available and how they are used, click here. The lessons are set up sequentially so that, as far as possible, all students will experience success.

Information about how to teach the daily lessons can be found at the end (or sometimes the beginning) of each student book. The lessons are teacher directed with a high level of active student participation. The books include a sequence chart showing all of the skills taught in that book. Any books that have pictures and words on opposite pages also have an answer key for an oral blending game that is played using those pages. ​

It is not necessary to have a teacher's guide that has different instructions for each teaching day or week. The daily teaching sequence for a particular level is always the same. The teacher simply inserts the new alphabet letter, phonics pattern, or syllable pattern for the day into the daily lesson plan. This allows the students to feel very secure because they know exactly what to expect during each learning period. Lessons can proceed quickly and efficiently. This process maintains student interest and creates a high level of success.

The pacing is flexible, but in general it follows these guidelines.

When learning the alphabet, students study a new alphabet letter every third or fourth day. Lessons also include handwriting skills and phonological and print awareness instruction.

When studying short vowel words, students read and spell ten new short vowel words each day. They also learn six high frequency sight words and read simple short vowel sentences.

When studying phonics patterns, students study one new letter pattern or syllable pattern each day. They study the new pattern by spelling ten words, reading ten or more new words, and reading sentences and/or or stories that contain words with that pattern. Letter patterns that have been taught are reviewed daily using sound charts followed by letter and phonics pattern flashcards. Students who are being tutored individually can use the sound charts in the student books. For a classroom, large versions of the sound charts are available to post on a bulletin board or wall. ​

How To Say The Sounds For The Letters And Phonetic Patterns
Audio and video files are available on this site to help teachers, tutors, parents, and students learn how to pronounce the sounds for the letters and phonics patterns. In a phonetic reading program, it is important to say the individual sounds correctly, so that students will be able to separate words accurately into individual sounds as they spell them (segmenting) and put individual sounds in a written word together smoothly when they pronounce the words (oral blending). The individual sounds should be pronounced without any additional sounds added to them. For example, the sound for the letter t is /t/, not /tuh/. You may not be familiar with the way some letters are pronounced, but as you and the students learn them, you'll see that those sounds work very well when students begin spelling and reading words.

Click here to see the available audio files.

Click here to see the available video files.

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information about pronouncing the sounds for alphabet letters and phonics patterns

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Introductory information for anyone interested in using the Sound City Reading program to teach beginning or remedial reading. The materials and instructional design is set up to that, as far as possible, all students will experience success.

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Erin Parker, ABE Instructor and PANDA Consultant

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Teaching Writing Skills Through Gratitude

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Studies have shown that feeling thankful can improve sleep, mood and immunity and that gratitude can decrease stress and anxiety. Gratitude journals are a great way to give students frequent writing practice with mental wellness benefits.

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Oops. Something went wrong. Please try again. | Khan Academy

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10,000 possible mastery points

A brief introduction to grammar

Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone.

Start learning

A brief introduction to grammar

Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone.

Start learning

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Grammar | Arts and humanities | Khan Academy

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Grammar is the collection of rules and conventions that makes languages go. This section is about Standard American English, but there's something here for everyone.

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Stellar Vocabulary Ideas

These "stellar" ideas for vocabulary instruction were collected from participating MN STAR administrators and teachers during 2009-2012. Note: Some of the contributors' original wording was reduced or revised for clarity and consistency.
Stellar Vocabulary Ideas

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These "stellar" ideas for vocabulary instruction were collected from participating MN STAR administrators and teachers during 2009-2012.

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Welcome to my website! I hope my videos and practice quizzes will help you understand more about how to write good sentences and paragraphs in English. I recommend watching a video first, then doing the quiz that goes with it.

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Teaching Vocabulary: 50 Shades of Meaning

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Teaching Vocabulary: 50 Shades of Meaning

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Explicit vocabulary instruction can often be a neglected vein of ESL instruction. This article provides research-based, user-friendly ideas to grow students beyond a surface level knowledge of words to deeper vocabulary comprehension and usage.

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association of american editorial cartoonists

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Cartoons for the Classroom :: AAEC - Association of American Editorial Cartoonists

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Cartoons for the Classroom. Cartoons and lesson plans based on cartoons by members of the Association of American Editorial Cartoonists (AAEC). The site also includes editorial cartoon archives, cartoonist profiles and articles about cartoon news & history.

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e-Advanced Alphabetics

This electronic, screen-shareable resource includes Google slide sets (in PDF format) for remotely teaching compound words, common suffixes, common prefixes, and related word families. e-Advanced Alphabetics:

Offers a flexible sequence - meaning, users can start with any slide set, teach any words, and assign any activities.

Provides clear descriptions of a compound, suffix, prefix, and how they can change word meaning, usage, spelling, and/or pronunciation.

Follows the explicit instruction model and moves from teacher explanation to modeling to guided practice and then student application of taught word skills.

Scaffolds from more familiar or basic to less familiar or academic words and with chunking, meanings, examples, or synonyms to without.

Concludes with activities for matching words and simple meanings, sentence combining, or write to read paragraphs that can be completed individually or in small or large groups.

Looking for ideas?

The author, Marn Frank, and several Minnesota STAR-trained teachers have compiled a helpful list of Ideas for Using e-Advanced Alphabetics Slide Sets.

Questions?

If you have any questions or comments, please contact Kristine Kelly.

SLIDE SETS

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NEW SLIDES RECENTLY ADDED! This electronic, screen-shareable resource includes Google slide sets (in PDF format) for remotely teaching compound words, common suffixes, common prefixes, and related word families.

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Quick Search A Database of 2300 Instructional Material Titles Coded to Skill Levels CASAS Competencies and Skill Areas

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CASAS QuickSearch Online lists print, audio, visual and computer-based instructional materials, and correlates them to the CASAS Competencies which helps educators and trainers to identify curriculum materials that target specific learning needs at appropriate instructional levels.

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Forgot your password? To make a donation, send a check made out to World Education to 44 Farnsworth Street, Boston, MA, 02210 or click the button below to donate online. Your donation to The Change Agent is tax deductible and greatly appreciated!

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Don’t do the work if you don’t have to.Our templates get your students to work quickly.Download or make a copy. Adjust as necessary. Assign to your

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our expanding library of project ideas that are standards-aligned, and cover a range of grade levels and subject areas.

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ABE Teaching and Learning Advancement System

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World of Better Learning | Cambridge University Press

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Jade Blue highlights the benefits of using drawing as a tool to learn English with some fantastic activities to get your students doodling.

From safety instructions on a passenger flight to underground train maps, images create a shortcut in communicating information, and are automatically more engaging for the reader. But the act of drawing differs to just looking at someone else's image. The time required to consider how to visually represent ideas and concepts results in more processing time. During which, we're evaluating and thinking more critically about the subject.
As we begin to draw, what we produce deepens our understanding of it. This more in-depth understanding then informs what we draw next, and so on. This cyclical nature of drawing keeps the experience rooted in the present, as it necessitates a constant reassessment of the whole. Engagement is active, rather than passive, and as we're producing our own visual representations of something, the experience is personalised. All of these elements result in more memorable learning - which is, of course, what we're aiming for in the language classroom.

Drawing to enhance memory

In 2016 the department of psychology at the University of Waterloo carried out a study of drawing information as a strategy to enhance memory. It found that we recall twice as many drawn as written words, regardless of artistic skill (Wammes, et al, 2016). Participants were given a list of simple words, such as 'apple', for example, and 40 seconds to either draw a representation of the word or write it repeatedly. They were then asked to recall as many words as possible. The study found that drawing creates a more cohesive memory trace - that memory for drawn words was superior to all other alternatives. This includes listing physical characteristics, creating mental images, and viewing images depicting the words.

Diffuse thinking

The success of drawing may also be attributed to the type of thinking taking place: diffuse thinking. In the relaxed mode of diffuse thinking, the mind wanders freely, allowing us to make random connections and gain new insights. Unlike focused thinking, diffuse thinking allows the brain time to process things more deeply. It happens when we're cooking, walking or drawing, for example. You may recognise the expression 'sleep on it' whereby if you have a problem or challenge to puzzle out, the advice is often to 'sleep on it' - to give the brain time to process everything.
When we're drawing, we're using our brain creatively, but also in an unfocused, diffuse way.

Sketching notes

Learning directors Jill Gough and Shelley Paul experimented with sketching - or doodling - rather than writing notes, both in their own professional learning and with their students (Schwartz, 2015). They found that sketching notes (as opposed to writing them) causes us to listen at a different level. As well as making learning visible for teachers (and so providing a valuable formative assessment tool), sketching helps us to synthesise information. It allows for a variation in styles and approaches, and provides another entry point for learning - an additional avenue for learners into understanding information.
The idea of sketchnoting has grounding in neuroscientific research about how to improve memory. When ideas and concepts can be captured in an image, the brain remembers the information associated with that image. But drawing isn't necessarily about copying what's in our heads - it can be as much about finding out.

We draw not to transcribe ideas from our heads but to generate them in search of greater understanding.

- Sousanis, 2015.

Drawing new language

In the English language classroom, drawing is an engaging and effective way for learners to record, evaluate and explore language. Here are some simple drawing activities to try with your learners.
When learners record vocabulary or lexical chunks in their notebooks, ask them draw a picture to represent the language. Learners can then compare and discuss their drawings and why they chose to represent the language in this particular way.

The story so far

In this activity, learners (individually or in groups) illustrate the 'story so far' for a reading or listening text. This is particularly effective with longer reading texts which might be encountered over more than one lesson, as the drawings can be revisited to remind learners of the content of the text.

Snapshots

In 'snapshots', learners choose a moment in a reading or listening text and draw a snapshot of the scene. Then exchanging drawings and identifying which moment others have chosen to represent.

Process diagrams

Process diagrams can be used with anything that involves a process. From something described in a coursebook text to preparing for an exam. Individually or collaboratively, learners draw a diagram of the process and its component stages and discuss together.

Personalised maps

As a starting point for discussion, to practise prepositions of place, or conditional structures, for example, learners draw maps of places (or experiences) in their actual or ideal world.

Mini grammar stories

To practise comparative and superlative adjectives, ask learners to make three panel illustrations as examples of the different forms (e.g. small / smaller / smallest). This activity also works with other grammatical items that can be shown in three parts, such as going to/present continuous/present perfect (he is going to bake a cake / he is baking a cake / he has baked a cake). Or positive / negative / question forms (I have one sister / I don't have any brothers / Do you have any siblings?)

My Grammar

After eliciting or providing contextualised examples of a grammatical item, ask learners to draw examples that are true for them, using contexts from their own lives and experiences.

Integrating drawing activities into language learning classes allows greater opportunity for learners to get to grips with language. Activities like the above make learning more personalised, more engaging, and more memorable.

Concepts can never be presented to me merely, they must be knitted into the structure of my being, and this can only be done through my own activity.

- Follett, 1924

References

Follett, M. (1924) Creative Experience. Eastford: Martino Fine Books.
Schwartz, K. (2015) Making Learning Visible: Doodling Helps Memories Stick. Available here. Accessed June 2019.
Sousanis, N. (2015) Unflattening. London: Harvard University Press. pp54-79.
Wammes, J.D., Meade, M. E., & Fernandes, M. A. (2016) The drawing effect: Evidence for reliable and robust memory benefits in free recall. The Quarterly Journal of Experimental Psychology, 69:9, 2016.
If you enjoyed this article, check out Jade's post on teaching advanced grammar and dealing with imposter syndrome.

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Drawing to Learn Language | World of Better Learning

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Jade Blue highlights the benefits of using drawing as a tool to learn English with some fantastic activities to get your students doodling. From safety instructions on a passenger flight to underground train maps, images create a shortcut in communicating information, and are automatically more engaging for the reader.

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Solvemoji - Emoji teaching resources - Emoji math puzzles, great as a primary math starter, download our pdf worksheets - great for home schooling

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Libraries Remote Instruction - ATLAS ABE

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ABE Teaching and Learning Advancement System

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GED Math Videos - Florida Literacy Coalition

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Desmos wants to build a world where every student learns math and loves learning math, where a student's access to the power and beauty of math doesn't depend on their place of birth, race, ethnicity, gender, or any other aspect of their identity.

Our free suite of math software tools, including the renowned Desmos Graphing Calculator and Scientific Calculator, are used annually by over 40 million teachers and students around the world.

Our cutting-edge technology also powers our free digital classroom activities , thoughtfully designed by teachers for teachers to support and celebrate the different ways students come to know mathematics. These activities are guided by our pedagogical philosophy and open up a world of possibilities for students to explore concepts more deeply, collaborate with their peers on problem-solving, and apply knowledge creatively as mathematicians.

The three parts of Desmos that we want to highlight are (1) Classroom activities on Teacher.Desmos, (2) the Desmos graphing calculator, and (3) Learn Desmos.

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To get started, read this Review of DESMOS Classroom Activities written by ANN Past President, Eric Appleton from the Adult Literacy Education Journal, published in Summer 2022.

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Most of us have had students who have not yet developed fluency with multiplication facts. For most of those students, the challenge is that have been taught to think of the 12 by 12 multiplication table as 144 discrete math facts to memorize.

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"Instructional routines are specific and repeatable designs for learning that support both the teacher and students in the classroom... enabling all students to engage more fully in learning opportunities while building crucial mathematical thinking habits." Kelemanik, Lucenta, & Creighton (2016)

The Instructional Routines on this page are accessible and challenging to all students, can be approached in multiple ways using different types of sense-making strategies, promote understanding through discussion, make student thinking visible, make math visual and encourage practice of mental math

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"Instructional routines are specific and repeatable designs for learning that support both the teacher and students in the classroom... enabling all students to engage more fully in learning opportunities while building crucial mathematical thinking habits."

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Download this pdf to learn more about the mathematics of Bunny Times.

Read more about Bunny Times on the Sine of the Times blog.

Release: 2015Q3, Semantic Version: 4.3.0-alpha, Build Number: 998

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Download this pdf to learn more about the mathematics of Bunny Times. Read more about Bunny Times on the Sine of the Times blog. Release: 2015Q3, Semantic Version: 4.3.0-alpha, Build Number: 998

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Multiplication Representation Cards – Icebreaker

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This icebreaker can be used after students have looked at different ways to represent multiplication. The attached pdf includes eight 2-digit multiplication problems represented on separate cards t…

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Mental Math - visualize multiplication patterns

Common Core Connections - Grades 3 and 4

Understand properties of multiplication.
Multiply within 100.
Identify arithmetic patterns.
Look for and make use of structure.

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Interactive Multiplication Chart | Math Playground

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Interactive Multiplication Chart at Math Playground.com! Explore factors, multiples, products, square numbers, multiplication patterns, math facts and more.

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This has become one of our most popular tasks and we are hearing about all sorts of creative adaptations. Some youcubians have made grids of 400 and added dice, others have adapted it to let the grid represent 100%. Please post how you use this task with your students.

Task Instructions

This game is played in partners. Two children share a blank 100 grid.

The first partner rolls two number dice.

The numbers that come up are the numbers the child uses to make an array on the 100 grid.

They can put the array anywhere on the grid, but the goal is to fill up the grid to get it as full as possible.

After the player draws the array on the grid, she writes in the number sentence that describes the grid.

The second player then rolls the dice, draws the number grid and records their number sentence.

The game ends when both players have rolled the dice and cannot put any more arrays on the grid.

How close to 100 can you get?

Variation

Each child can have their own number grid. Play moves forward to see who can get closest to 100.

This has become one of our most popular tasks and we are hearing about all sorts of creative adaptations. Some youcubians have made grids of 400 and added dice, others have adapted it to let the grid represent 100%. Please post how you use this task with your students.

Task Instructions

This game is played in partners. Two children share a blank 100 grid.

The first partner rolls two number dice.

The numbers that come up are the numbers the child uses to make an array on the 100 grid.

They can put the array anywhere on the grid, but the goal is to fill up the grid to get it as full as possible.

After the player draws the array on the grid, she writes in the number sentence that describes the grid.

The second player then rolls the dice, draws the number grid and records their number sentence.

The game ends when both players have rolled the dice and cannot put any more arrays on the grid.

How close to 100 can you get?

Variation

Each child can have their own number grid. Play moves forward to see who can get closest to 100.

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This has become one of our most popular tasks and we are hearing about all sorts of creative adaptations. Some youcubians have made grids of 400 and added dice, others [...]

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To get four squares in a row-vertically, horizontally, or diagonally.

How to Play

1. To begin the game, Player 1 moves a marker (green square) to a number in the factor list of numbers 1-9 along the bottom of the game screen.

2. Player 2 then moves the other marker (green square) to any number in the factor list (including the number marked by Player 1). The product of the two marked numbers is determined, and that product is colored red for Player 2.

3. Player 1 moves either marker to another number, and the new product is colored blue for Player 1.

4. Players take turns moving a marker, and each product is marked red or blue, depending on which player made the product. However, if a product is already colored, the player does not get a square for that turn.

5. Play continues until one player wins, or until all squares have been colored.

Credit

This Product Game Investigation was adapted with permission and guidance from Prime Time: Factors and Multiples, Connected Mathematics Project, G. Lappan, J. Fey, W Fitzgerald, S. Friel and E. Phillips, Dale Seymour Publications (1996), pp. 17‑25.

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This applet is the Product Game: a fun, interactive game that exercises your skill with factors and multiples.

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Steve Wyborney\\\'s Blog: I\\\'m on a Learning Mission.

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The Multiplication Course by Steve Wyborney is finished and completely ready! It is a highly interactive multiplication course - on YouTube - with 156 short videos. They are completely ready for all students, all teachers, all parents, everyone!

The course teaches students deep, rich, and important multiplication concepts while they are also learning multiplication facts. It also puts students in control of their learning, allowing them to pause the think deeply, allowing them time to write, allowing them to discover important math ideas.

The animated videos are organized in 12 chapters - and each chapter is in a playlist on YouTube. The course is for students in grades 3-8, and it's completely free. There aren't even ads.

If you are looking for a multiplication resource for...

this may be a great resource for you!

Scroll down to continue learning about The Multiplication Course!

Watch how quickly you can access an entire chapter with a single click:
If you want to watch a single video to get a feel for the course, watch this 3-minute video:
The Entire Chapter Playlist can be found below - and you are welcome to watch any (or all) of the course, use any (or all) of the course, and share any (or all) of the course with others! This is meant to be a powerful resource - about a very important topic - that is freely available to everyone.
Quick Access to All Chapter Playlists Chapter 1 Playlist Chapter 2 Playlist Chapter 3 Playlist Chapter 4 Playlist Chapter 5 Playlist Chapter 6 Playlist Chapter 7 Playlist Chapter 8 Playlist Chapter 9 Playlist Chapter 10 Playlist Chapter 11 Playlist Chapter 12 Playlist
Inside the course, you'll find much of the same style that I've used in Esti-Mysteries... with ... with 20 Days of Number Sense of Number Sense and Rich Math Talk...
You'll see that the course includes...

3-Dimensional Drawing

Motion Challenges

Puzzle Challenges with Multiplication Thinking

Strategies for learning and understanding multiplication facts and concepts

Students will create Number Concept Maps... Students will complete 3-Dimensional Drawings... Students will see multiple perspectives... Student will be challenge to use multiplication thinking... Challenge levels increase in every chapter... Strategies for seeking Powerful Learning Opportunities are explained...
Key connections are featured! Perspectives, Multiple Representations, Math Talk, and Connecting Visuals to Expressions... ...and connecting expressions to expressions...
I've also designed it to be extremely easy to access and use. At the same time it's also powerful and extremely flexible.
Picture These Scenarios
Picture a classroom where all students are accessing the course, where one student is learning all about multiplication ideas for the first time traveling through each lesson... while another student who just didn't understand multiplication the year before is using it for extra support, hearing another perspective seeing additional visuals... and yet another student is accelerating through it at their own pace digging in to the more advanced concepts the course offers...

...and still another student using it to re-watch a lesson from the day before (because students can easily do that on YouTube), and still another student chooses to focus on the representation lesson in each chapter... or the drawing lessons in each chapter... or the puzzle challenges in each chapter... or the 3-dimensional perspective lessons in each chapter.

...and yet another student from the class in a different setting (such as at home) is also watching it...

...and another student whose best time to go through the course is not during the school day, can see it is later when it works better...

Keep looking around the scenarios, and notice that one student has turned on the Closed Captioning, two other students are discussing their 3-dimensional multiplication drawings with each other (safely in person - or in a breakout room). Another student is completing a visual concept map showing representations. And still another student - who has clicked the Pause Button - is solving a puzzle using multiplication thinking before The Reveal shows the answer.

The possibilities go on and on...
Students in class every other day?
Now they have a resource to use every day.
Students who didn't finish multiplication last year?
Now they have a complete course.
Students who memorized the facts, but didn't ever make the all-important connections to other concepts?
Here is powerful opportunity to make those connections.
The teacher who isn't sure what to do to provide a sustained learning narrative in ever-fluxing situations?
This course works across scenarios - it's designed for all environments and for situations in which learning environments need to change in the middle of the year - with our without advance notice.
The parent who wants more support for their child?
Here is a resource.
A teach of teachers who want to use the visuals as an ongoing resource for number talks?
There are literally thousands of images in the course.

The closer you look, the more you'll recognize that this course is designed to work at school... and it's designed to work at home... and it's also designed to work in situations where students may move from one environment to the other - even with only short notice.

Please know, it's not perfect. This is just about the maximum amount of material that I am able to draw, animate, script, record, take through the video editing process and post to YouTube between the beginning of June and August 16, 2020.
How to Share Videos and Playlists
If you want to share a chapter (with other colleagues or other parents or students) it's very easy to do. One way to share a playlist is to...

1. Open a lesson or playlist on YouTube.

2. Click on the share button...

3. Click COPY...

4. Then paste the link in a platform where you can share it out.

It can be shared through...
If you want to see the ENTIRE COURSE on YouTube simply click on

1. My YouTube Channel - Playlists Tab.

2. You can also SORT BY (on the right side) and click "Oldest to Newest)

What materials do the students need?
Only paper and pencil. There are some lessons where a highlighter would be a useful additional tool, but is not necessary.
I'll be sharing more information about the course in the days and weeks to come.
There are 4 ways to easily access updates

1. Visit this blog post.

2. Subscribe to this blog for updates - and exclusive resources.

3. Follow my YouTube Channel

4. Watch my Twitter Feed

If you have questions or comments please leave them as a comment in this blog post.
Please Share This Resource with Anyone Who Can Use It

Also - if you know someone who would benefit from knowing about this, please share it with them. There may be a teacher, a parent, an administrator, or someone else you know who has students or a child working on multiplication who could use a very solid foundation with this very important concept. Please share this with them.
I'd like to wish you a wonderful school year! I hope this will be a truly powerful resource for you!

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The Multiplication Course by Steve Wyborney - Steve Wyborney's Blog: I'm on a Learning Mission.

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The Multiplication Course by Steve Wyborney is finished and completely ready! It is a highly interactive multiplication course - on YouTube - with 156 short

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In the spring of 2015, the Adult Program at Sullivan County BOCES, NY hosted a full day Student Numeracy Adventures Day. This guide is the result of that fair and the other math fairs that followed...

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Connie Rivera's Continuing Education Classes

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Click here to start by exploring Part of the Whole Click here to explore 25% Click here to explore 75% Click here to explore 10% Click here to explore more percent building blocks

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Open Up Resources 6–8 Math is a student-centered, problem-based curriculum written to ensure that students obtain procedural fluency built from conceptual understanding. The curriculum is student-led, interactive and uses real-world situations to promote problem solving and reasoning skills.

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Beginning Curriculum for Adults Learning Math (BeCALM) Remote-Ready Curriculum for Beginning Math Students (GLE 2-4) series
This collection includes teacher and student materials that can be downloaded as Word documents or PDFs. The math content is aimed at ABE level math students (approximately GLE 2-4). While adult students at this math level may have any level of reading, the student materials were designed to be used by adults with a reading level GLE 2 or above. Appropriate for use with students at an ABE reading level or beginning to intermediate English Language Learners.
Download BeCALM Scope and Sequence Download BeCALM College and Career Readiness Standards Crosswalk BeCALM Units: Curriculum for Adults Learning Math (CALM)
For those of you who have been struggling to create your own program-wide curriculum, we have the answer -- CALM! CALM is a complete 22-unit curriculum, for students in ABE through ASE. It is based on the College and Career Readiness Standards for Adult Education (CCRSAE) for Math. Visit the CALM website to download samples.
We also offer the CALM Support Series of online workshops. Other

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CUNY Problem-Solving in Functions and Algebra

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CUNY Problem-Solving in Functions and Algebra

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Problem-Based Lesson Search Engine - Robert Kaplinsky

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This search engine searches all of the sites below to quickly help you find a problem-based lesson (also called 3-Act Task, mathematical modeling, or application problem)

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The CUNY HSE Curriculum Framework

In this section, you will find materials to extend the lessons in the CUNY HSE Curriculum Framework. Teachers can also find lessons, problems, readings, and teaching materials for topics that aren't covered in the Framework. The materials below are organized by HSE and TABE 11/12 subjects.

For materials students can use in class or independently, check out our Independent Study Materials.

Teaching Materials by Subject

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The CUNY HSE Curriculum Framework In this section, you will find materials to extend the lessons in the CUNY HSE Curriculum Framework. Teachers can also find lessons, problems, readings, and teaching materials for topics that aren't covered in the Framework. The materials below are organized by HSE and TABE 11/12 subjects.

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READY FOR THE REAL THING: New ESOL book for beginning/high beginning level students, with accompanying activity set.

NYSED/CUNY Civics Text Set & NYSED/CUNY Life Science Text Set: These collections of texts at different levels are designed to teach adult students the basics in these topic areas, and can be used both as self-study resources and as the basis for classroom lessons.

NYSED/CUNY Fast Track GRASP Math Packets: Study materials in high-priority topic areas on the math HSE exam, along with initial assessments and practice test questions. The latest packets are: Three-Dimensional Geometry and Proportional Reasoning

Independent Study Materials and Practice Test Questions: Sources of test questions in math, social studies, science, and ELA which can be used with students.

ABE, real-world math, social justice Classes, HSE, Math, Pre-HSE, Reading, Science, Social Studies The Change Agent (It's Not Just for ELA!)
· Appropriate for: Use in class · Available: Lessons, Texts/Readings, Hands On Activities · Readiness: Resources can be used as they are · Engagement: 3 = very engaging

The Change Agent is an adult education magazine for social justice, written by and for adult education students and adult education teachers. Each issue is centered around a theme - recent themes have included Mental Health, the Pandemic, Indigenous Peoples, Our Immigration Stories, and We Take Action.

Many ELA classes in adult education use the Change Agent to study reading, writing, social studies and science. But the Change Agent is also a fantastic resource for math class!

Continue reading Using the Change Agent in Math Class

The 2023 New York City Primary Elections are here! Early voting has started and the final day to vote is June 27th, 2023! All 51 City Council seats, plus some District Attorney and judicial races, are on the ballot this year.

The Literacy Assistance Center (LAC) has partnered with Community Votes and a group of nonprofit adult literacy education programs to integrate voter engagement into their ongoing programs. Nonpartisan voter education, outreach, registration, and get-out-the-vote (GOTV) activities are opportunities to engage students and community members around the upcoming elections. Voter engagement not only encourages students to vote, but also to reach members of their communities to vote on Election Day.

Continue reading 2023 Voter Engagement Resources for Adult Literacy Programs

A slow reveal graph is a teaching tool that starts with a numberless graph (or map, diagram, etc.) without labels. As the class notices and wonders about the graph, the teacher slowly reveals the original text and numbers until the class is looking at the complete original graph. The process allows students and teachers to focus on specific parts of the graph and do a close reading and analysis. For more information about slow reveal graphs, please visit Slow Reveal Graphs | CollectEdNY. For more graphs you can use in the classroom, please visit the CUNY data, graphs and maps collection.

New graphs are added to the collection weekly! -> Download

This collection of slow reveal graphs was originally created by Tim Berrigan, a NYSED Teacher Leader from the Brooklyn Public Library, to respond to the fact that mathematical reasoning is required on the Social Studies and Science sections of the GED. While working with slow reveal graphs, students practice the following skills: fact vs. opinion, evidence and conclusions, using data to make predictions, dependent and independent variables, correlation and causation, mean, median, mode, and range in statistics.

Continue reading Slow Reveal Graphs Collection

You may be familiar with the Southwest ABE's Reading Skills For Today's Adults website, where you can find readings on a variety of topics and at different levels. As with any materials, you need to look through and see which might fit your needs. As my colleague Kate Brandt (CUNY HSE PD team) said in her CollectEd post, the best feature of the website is the audio: students can read along while listening to an audio of the text read at three different speeds: slow, medium, and fast. There are also sets of questions attached to each text that students can print out and write answers to, and each text also includes supplementary worksheets with vocabulary, close paragraphs, and fill-in-the-blank exercises.

Continue reading Reading Skills for Today's Adults: New Updates!

HSE, lesson plans, Spanish language Pre-HSE, Reading, Science, Social Studies, Writing D79 GED Curriculum
· Appropriate for: Building teacher background knowledge, Use in class, Knowledge of teaching, For student independent work · Available: Lessons, Texts/Readings, Videos, Assessments · Readiness: Resources can be used as they are · Engagement: 2 = engaging

In record time, District 79 in New York City has set up its website for transition to the GED test, and there is a wealth of resources here. Teachers can click on a number of categories on the sidebar, such as general GED resources; Reasoning through Language Arts; Social Studies, and Science, as well as Reading Strategy Resources and Writing Strategy Resources.

Continue reading One Stop Shopping for HSE Teachers at the District 79 Curriculum site

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resources for New York State educators preparing adult students for high school equivalency and beyond

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Most of the resources here have been tagged with specific TOPICS to facilitate the search process. For example, to search for resources related to one of the 8 Mathematical Practices, type in MP.1, MP.2, MP.3, and so on.

Videos and tasks on math content progressions related to fractions in the Common Core standards.

Online activities and videos for supporting students' understanding of math concepts such as ratios, scale factors, fractions, number lines, and so on. Some activities may need additional language learning supports (i.e. for beginning English learners). Videos are also available in Spanish and in a printable "comic book" form.

Online activities and videos for supporting students' understanding of math concepts such as ratios, scale factors, fractions, number lines, and so on. Some activities may need additional language learning supports (i.e. for beginning English learners). Videos are also available in Spanish and in a printable "comic book" form.

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Most of the resources here have been tagged with specific TOPICS to facilitate the search process. For example, to search for resources related to one of the 8 Mathematical Practices, type in MP.1, MP.2, MP.3, and so on. Videos and tasks on math content progressions related to fractions in the Common Core standards.

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All Learners Network (ALN) has a suite of inclusive instruction resources for teaching math so that all students can learn math.

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Check out our MATH & NUMERACY TEACHING RESOURCES page.

Looking to organize your classes focused on student thinking and conceptual understanding?

Check out our INSTRUCTIONAL ROUTINES page, where you can learn about routines like Notice/Wonder, Same/Different, Slow Reveal graphs, visual patterns, and more.

Looking to help students build conceptual understanding and visual models?
Looking for interactive online activities for exploring math concepts?

Check out our page for suggestions on how to get started.

Looking for ways to learn more about teaching and learning in your adult math & numeracy classroom?

Check out our TEACHER-LED PROFESSIONAL DEVELOPMENT page.

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Adult Numeracy Network - Math & Numeracy Resources

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Check out our MATH & NUMERACY TEACHING RESOURCES page. Looking to organize your classes focused on student thinking and conceptual understanding? Check out our INSTRUCTIONAL ROUTINES page, where you can learn about routines like Notice/Wonder, Same/Different, Slow Reveal graphs, visual patterns, and more. Looking to help students build conceptual understanding and visual models?

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Copyright © 2006-2016 All rights reserved. NCS Pearson, Inc., 5601 Green Valley Drive, Bloomington, Minnesota 55437 www.pearsonvue.com

Copyright © 2012-2016 All rights reserved. GED Testing Service LLC., 5601 Green Valley Drive, Bloomington, Minnesota 55437

PLEASE Read THIS SOFTWARE LICENSE AGREEMENT carefully before downloading the software linked hereto. YOU AGREE THAT THIS AGREEMENT IS ENFORCEABLE LIKE ANY WRITTEN NEGOTIATED AGREEMENT SIGNED BY YOU. IF YOU DO NOT AGREE, DO NOT USE THIS SOFTWARE.

This Software License Agreement ("Agreement") establishes the terms and conditions under which NCS Pearson, Inc. will provide the software necessary to allow you to acquaint yourself with how a NCS Pearson, Inc. computer-based test will be administered ("Software"). This Software is the exclusive property of the NCS Pearson, Inc., affiliates, subsidiaries, or any entity under control of NCS Pearson, Inc. ("NCS Pearson, Inc."), including, but not limited to, the structure, organization and code of the Software. Your use of the Software is strictly conditioned upon your explicit acceptance of the terms and conditions of this Agreement and your use of this Software will be deemed your acceptance of the terms and conditions set forth herein and your agreement to be bound by them ("License"). NCS Pearson, Inc. grants you a non-exclusive License to use the Software for the purpose described above.

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You understand and agree that you shall be responsible for the use, operation, and storage of the Software. You assume the risk and sole responsibility for any and all damage to equipment or to the Software, or CD ROM, if any, by your use of such Software. In addition, you agree to indemnify and hold harmless NCS Pearson, Inc. and its employees, officers, agents, and assigns against all third party claims, damages, law suits, or settlements arising from your use of the Software. NCS Pearson, Inc. shall have no liability of any kind under this Agreement.
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I acknowledge that I may view, download, and use the Software accessible through this site, or via a CD ROM, only for the purpose of acquainting myself with on how a NCS Pearson, Inc. computer-based test will be administered under the terms set forth in this Agreement. I also acknowledge that I may only view, download and use the Software pursuant to this Agreement. Furthermore, I understand that no license is granted to me hereunder for any other purpose.

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Copyright © 2006-2016 All rights reserved. NCS Pearson, Inc., 5601 Green Valley Drive, Bloomington, Minnesota 55437 www.pearsonvue.com Copyright © 2012-2016 All rights reserved. GED Testing Service LLC., 5601 Green Valley Drive, Bloomington, Minnesota 55437 PLEASE Read THIS SOFTWARE LICENSE AGREEMENT carefully before downloading the software linked hereto.

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Math Instruction in Minnesota ABE - ATLAS ABE

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ABE Teaching and Learning Advancement System

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Two mindset-boosting songs, complete with lyrics for singing along, created for youcubed by Lauren Mayer and Curriculum Rocks!

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Adult Numeracy Network - What is Numeracy?

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The Programme for the International Assessment of Adult Competencies (PIAAC) defines numeracy as follows:

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Aesthetic Pomodoro Timer | Study With Me

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An aesthetic Pomodoro timer to keep you focused and motivated. Customize your study timer and choose from a variety of aesthetic themes.

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Alphabet ABC | Learn and Practice Phonic Sounds | English Pronunciation Course

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Unite for Literacy provides free digital access to picture books, narrated in many languages. Literacy is at the core of a healthy community, so we unite with partners to enable all families to read with their young children.

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Inspired by scavenger hunts, Goosechase is an online platform that helps you create interactive experiences.
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The Original Interactive Experiences App | Goosechase

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Inspired by scavenger hunts, Goosechase is an online platform that helps you run real-world interactive experiences for your communities. Try it today for free!

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US Adult Education | National Geographic Learning ELT

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Prepare adults for professional and academic success as they gain confidence in English. Discover our National Geographic Learning ELT programs for adults.

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Visual Thinking Strategies (VTS): Critical Thinking and Inclusive Discussion

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VTS is an education nonprofit providing schools and museums with curriculum, professional development, and training in critical thinking skills.

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We Speak NYC videos tell the stories of New Yorkers who have come from all over the world to make New York City their home. The show helps English language learners improve their language skills, learn about their rights, and access City services.

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Minimal pairs lists and practice. Minimal pairs are words that vary by only a single sound, be it vowel or consonant. Pronunciation for learners of English.

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About 15 Worksheets

Finding highly useful free printable worksheets with answer keys has always been a daunting task. Often educators find themselves signing up and paying for work that was not fully getting it done for them and their students. Back in 2021, a group of 15 retired teachers got together and began to tackle this task. Since there were 15 of us, we would pick a topic, and each create a single worksheet for that topic. This resulted in the name of this website 15 Worksheets.

Our site is full of worksheets for students, teachers, homeschoolers, and tutors to enjoy. You will find at least 15 printable worksheets for all the topics that we have available for you. When we see that one of our pages helps many people, we add even more sheets. We sorted all our work into key featured worksheet topics. If we there is a topic you would like, just search for it (upper right of screen). We get all of new topics from these searches.

Worksheet Topics

This section helps students better understand the conventions and structure of written language. We take a deep dive into the parts of speech and how to properly pace and place them into sentences.

We provide a great selection of different major holidays that have a large series of various skills which cover all subject areas. You will find these very helpful throughout the school year.

You find this section very helpful for youngsters at this level. We cover all the basic skills that needed to be successfully at the primary level. We also have a separate area specific for phonics skills and learning read.

We began this section with the original intention of focusing on basic core math skills but have since begun to build this out working towards high school level work. You will find a different types of math skills in this area.

We work on foundational skills that begin at the toddler level and extend to pre-reading and pre-writing skills. The goal is to help students better understand the environment that they are surrounded by each day.

This is the strongest and most in-depth area of our website. We have 6 reading teachers and several High School English teachers that regularly contribute to this area. We actively add new content to this area because we feel that if you can read well, you learn just about anything to help yourself and the people around you.

We began this with a focus on life science, but have since be developing many different physical science topics. We expect this area to grow a tremendous amount over the next school year.

You find worksheets that cover everyday skills that flow over several different subject areas. We encourage students to learn how to better communicate and share information with others in this section.

Almost all of our teachers contribute to this section regularly based on their interests. The focus started from a world history perspective. We have been working more on U.S. history and will slowly roll out geography work to help educators and students everywhere.

You will find a complete curriculum for grade 1 through grade 5. Each level includes a 30-week spelling curriculum that you can use as is. We will begin to add more general sheets to this area over the course of time.

This section will help students become more comfortable with the proper use of words that are completely new to them. In addition to extended reading and journaling students can use this area to greatly expand their spoken and written language skills.

This section of our site ties many of the others together. We not only explore how to write using proper English language, we learn how to pick what to write about. Students will also learn how to research and write with purpose.

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15 Worksheets.com - 15 Printable Worksheets on All Topics!

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Our site is designed for teachers, homeschoolers, tutors, and educators across the globe. We feature 15 free printable worksheets for just about any topic.

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Forty theme-based readers, along with an instructor guide, that will support ESL literacy instructors to create comprehensive, theme-based lessons for adult ESL literacy learners.

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Taiwan is an island off the coast of China. It is a prosperous, democratic country. Most of the world's computer semiconductor chips come from there. But there is a problem. The much more giant neighbor says it belongs to them. The "reunification" of Taiwan with China has been a goal of China for decades. China...

The seven-year-old girl at school in Maplewood, NJ, told her mother her teacher tried to pull her hijab off her head. This upset the child and the mother. The mother complained about it on Facebook. End of story? No. Ibtihaj Muhammad, a famous Olympic medalist, denounced it as abuse in an Instagram post that...

Most people want white teeth. Doing it at home is cheaper than going to the dentist. There is no shortage of products. They include toothpaste, gels, strips, mouth trays, and rinses, Do they work? And which one is best? How does teeth whitening work? Which way? Teeth whitening products scrape away stains using physical force or bleach...

The headlines are about Covid-19, polio, and monkeypox. Another virus - influenza - will soon be here. Flu activity tends to start in October. This year may be worse in part because Covid restrictions have loosened. Here is what you can do to stay healthy. Get a flu vaccine. It's too early to tell how effective the...

The Hollywood version has an asteroid bearing down on the planet. Movies like "Armageddon," "Deep Impact" and, " Don't Look Up," thrill viewers. Scientists are now taking the threat in a more serious way. Astronomers found all of the big asteroids that would wreak planet-wide destruction. Just like the one that doomed the dinosaurs 66...

Young Russian men are heading out of Russia. Often, they are carrying just a laptop and backpack. Where are they going? How are they getting there? Some Russian men once thought they were safe from the front lines. Then, President Putin announced a draft. Now they leaving the country. And they are doing so in a...

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News in plain English for speakers of other languages (ESOL) and ESL, information for immigrants and students improving their literacy skills and learning about health, jobs, immigration and American government.

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Below is a list of topics that might be of interest to adult learners. They are organized by subject and by reading difficulty: easy, medium, or hard. Click the links to explore these topics. If you're a researcher, click here for more information about this library.

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Below is a list of topics that might be of interest to adult learners. They are organized by subject and by reading difficulty: easy, medium, or hard. Click the links to explore these topics. If you're a researcher, click here for more information about this library.

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The Academic Formulas List (AFL) Common academic word sequences

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This page describes the Academic Formulas List (AFL), explaining what it is and giving a full list of the AFL. There is also, in another section, an AFL highlighter which can be used to highlight AFL words in a text.

What is the AFL?

The Academic Formulas List (AFL) is a list of the most common formulaic sequences in academic English. It can be seen as a formulaic companion to the Academic Word List (AWL), consisting of formulas (recurring word sequences three to five words long) rather than single words. It was developed by Rita Simpson-Vlach and Nick C. Ellis from the University of Michigan. There are three separate lists: one for formulas that are common in both academic spoken and academic written language (the'core' AFL), one for those which are special to academic spoken language, and one for those which are special to academic written language. The core list has 207 entries, while the spoken and written lists each have 200 entries, making 607 in total. The lists are prioritised according to a special measure of usefulness, devised by the researchers who made the list, called the formula teaching worth (FTW). Some of the phrases in the AFL also contain words in the AWL, e.g. the word consequence in the phrase as a consequence, though most of the words in the formulas list are from the GSL. Studying these formulas will provide another way to build up your academic vocabulary.

The Academic Formulas List

The 607 formulas in the AFL are listed below. The 207 formulas in the core list are given first, followed by the 200 formulas in the spoken list, and finally the 200 formulas in the written list.

Core AFL (Written and Spoken)

These formulas are common in both written and spoken English.

Number Formula Freq per
million (speech) Freq per
million (writing) FTW

Spoken AFL

These formulas are common in spoken English.

Number Formula Freq per
million (speech) Freq per
million (writing) FTW

Written AFL

These formulas are common in written English.

Number
Formula
Freq per
million (speech) Freq per
million (writing) FTW

Like the website? Try the books. This extract from Unlock the Academic Wordlist: Sublists 1-3 contains all sublist 1 words, plus exercises, answers and more!

Author: Sheldon Smith ‖ Last modified: 28 January 2022.

Sheldon Smith is the founder and editor of EAPFoundation.com. He has been teaching English for Academic Purposes since 2004. Find out more about him in the about section and connect with him on Twitter, Facebook and LinkedIn.

Popular pages in the vocab sectionMost viewed pages

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The Academic Formulas List (AFL) Common academic word sequences Podcast is loading. Problems? Too slow? You can also access the Podcast by clicking here. This message will disappear when then podcast has fully loaded. This page describes the Academic Formulas List (AFL), explaining what it is and giving a full list of the AFL.

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Looking for help expanding your English language vocabulary? Check out these guides for learning slang, disciplinary jargon, and more.

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Pressbooks is an online book-publishing platform that makes educational resources free and accessible. Get started quickly by adapting an existing work and customizing it for your class.

Why adapt with Pressbooks?

Lower education costs for students

Students can access Pressbooks for free, saving them from paying for costly textbooks.

Better learning outcomes

Interactive content, accessibility features, and built-in coursework keep students engaged and result in learning outcomes that are as good or better than traditional textbooks.

Build upon existing work

Open licenses allow users to build upon each other's work, whether you want to create a localized version, tailor the material to your course, or add to an existing resource.

How does it work?

Pressbooks allows users to publish textbooks, guides, and other open educational resources (OER). Rather than applying a traditional copyright, users typically opt for an open license-a less restrictive option that can allow for a work to be duplicated and modified, opening the door to infinite collaborative possibilities. You can find thousands of OER in Pressbooks Directory.

The Pressbooks software is easy to use, open source, and designed by and for educators. It's based on WordPress, so it may feel familiar already. Authors can embed media such as streaming videos or interactive elements like self-assessment quizzes. There's even the option to connect Pressbooks to your Learning Management System (LMS), making it a powerful all-in-one courseware package.

Learners enjoy free access to educational resources, engaging and interactive content, and better accessibility features than with physical textbooks.

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Pressbooks is an online book-publishing platform that makes educational resources free and accessible. Get started quickly by adapting an existing work and customizing it for your class. Lower education costs for students Students can access Pressbooks for free, saving them from paying for costly textbooks.

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51 Bite-Size Lessons on Verbs - Simple Book Publishing

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51 Bite-Size Lessons on Verbs Copyright © 2022 by Cui, Lin is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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Skip to content

Book Information

Book Description

Writing for Success is adapted from a work produced by a publisher who has requested that they and the original author not receive attribution. This adapted edition is produced by the University of Minnesota Libraries Publishing through the eLearning Support Initiative. For questions about this textbook please contact textbookuse@umn.edu

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Skip to content Writing for Success is adapted from a work produced by a publisher who has requested that they and the original author not receive attribution. This adapted edition is produced by the University of Minnesota Libraries Publishing through the eLearning Support Initiative.

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Thesaurus and word tools for your creative needs. Find the word you’re looking for!

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Find tips and strategies for further developing your English language skills, including speaking, reading, and writing.

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Response to Intervention | RTI | RTI Resources | Intervention Central

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Intervention Central is the leading resource for Response to Intervention (RTI) tools and resources, including academic and behavior interventions for classroom management.

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Book Creator for Teachers - Teaching made easy - Book Creator app

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Experience genuine student engagement, inclusivity, and authentic learning throughout the curriculum with Book Creator. Teachers love it.

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Pear Deck is on a mission to help teachers create powerful learning moments for every student, every day - using the tools you already know and love.

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Set up your classroom, without IT

You can quickly and easily set up your classroom in Quill by inputting student names or providing students with a unique code. If you use Google Classroom or Clever, you can automatically set up your classroom with one click.

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Quill.org | Interactive Writing and Grammar

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Quill provides free writing and grammar activities for middle and high school students.