Lattice Multiplication vs Conversation Therapy

Lattice Multiplication helps students learn and practice the lattice multiplication method step by step. The app shows each part of the lattice multiplication process visually. Students first complete the multiplication steps and then add along the diagonals. Animated numbers move into the correct places, helping students understand how the method works. Lattice multiplication is a compact visual method for multiplying larger numbers. It is algorithmically equivalent to long multiplication and is also excellent times tables practice. Students can solve randomly generated problems or enter their own multiplication problems. Wired.com: “This was one form of multiplication that I’d never done before, but the app taught me very clearly. It makes multiplying large numbers easier, and allows you to see it all visually.” Teacher endorsement: “The math apps by Esa Helttula allow students to practice and reinforce the specific computation strategies taught in class, with as much or as little scaffolding as necessary. They also provide individualized feedback to each student, with an immediacy that is not always possible through pencil and paper practice.” — Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada Features: - Step-by-step lattice multiplication practice - Multiplicand can have up to 5 digits - Multiplier can have up to 3 digits - Randomly generated or manually entered problems - Current operation for each step can be hidden - Operands for the current operation can be highlighted - Three visual themes: black, gray, and gold - Adjustable animation speed - Different interfaces for iPhone and iPad The Lattice Multiplication Method Lattice multiplication is algorithmically equivalent to long multiplication. A lattice (a grid) guides the calculation. All the multiplications are done first and then the additions. The method was introduced to Europe in 1202 in Fibonacci's Liber Abaci. In this groundbreaking book Fibonacci presented many algorithms for working with Arabic numerals. Ancient Indians and Chinese originally invented some of the algorithms. Fibonacci presented both the current standard long multiplication and also an originally Indian method called lattice multiplication, which is faster and more compact for working with larger numbers. Other iDevBooks Math Apps: Other iDevBooks math apps include Column Addition, Long Multiplication, Long Division, Column Subtraction, Visual Multiplication Table, Fraction Math, Partial Differences Subtraction, Partial Quotients Division, Partial Sums Addition, Decimal Rounding, and more. Feedback: New ideas to make this app better are welcome. Please visit idevbooks.com to give feedback. Privacy: This app has no ads, no in-app purchases, and does not transmit user data during operation. The app also does not contain links to other apps or to the web.

Work more effectively toward your speech therapy goals. Help people who have had a stroke, live with autism, or have a speech or language impairment get talking with an app that sparks conversation. The best way to improve talking is by talking! - Get a tool that helps adults, teens, and children put therapy strategies into practice - Improve language, social skills, speech, and thinking while using this powerful speech therapy app - Carryover the lessons from speech therapy at home with an app that’s easy for everyone to use - Focus on what matters – stop racking your brain for fresh topics and let the app guide you - Take things in any direction with thousands of possible conversation starters - Create the right experience for each person with customizable settings - Talk one-on-one, host groups of up to 4 at a time, and track improvement with ease ** SEE HOW IT CAN HELP – download the Lite version for FREE! ** Coming up with fresh, attention-grabbing conversation starters every day is surprisingly hard, even for speech therapy professionals. Think of this app as your talk facilitator, taking the pressure and planning out of starting and maintaining dialogue while you monitor how your clients use their speech strategies. "This is the app that is going to pave the way for converting speech therapists to the digital age." - Ryan Knoblauch, SLP, The Speech Knob GETTING STARTED IS AS EASY AS 1, 2, 3 Target higher-level expressive language, pragmatic, problem-solving, speech, and cognitive-communication goals with open-ended conversation starters. Here’s how it works. 1) CHOOSE YOUR CATEGORIES. Tailor your experience with specific topics like Food or Health, or select all topics for free-flowing discussion that could go anywhere! You can always change the settings to see only age-appropriate categories for children, teens, or adults. 2) START THE CONVERSATION. Look at the picture, then touch any of the 10 buttons to see a question. The questions on the left are simpler (like “What is…?”) while the ones on the right are more complex (“How do you know…?”). Hear the question aloud, record your own audio, and score answers as you go. 3) USE YOUR STRATEGIES. While taking turns discussing the answers to the questions, use your word-finding strategies, smooth speech techniques, or other personalized therapy approaches to communicate more clearly. ALL DONE? E-mail an automatically generated summary of your results, along with any audio, or share the results to a PDF, file storage, printer, or copy/paste. GET EVERY FEATURE YOU NEED IN ONE EASY APP - 275+ vivid photos, with 10 questions per photo, for over 2,750 possible questions - 10 languages: English, Dutch, Filipino, Finnish, French, German, Italian, Portuguese, Spanish, Zulu - 11 categories full of real-world topics including daily life, hobbies, current events, social issues, health concerns, and much more - Record audio at any time with just a tap - Perfect for treating language, cognitive-communication, pragmatic, and speech disorders - Great as stimulus material to work on fluency, articulation, eye contact, and word-finding strategies in spontaneous speech - No subscriptions, no monthly bills, no Wi-Fi needed BETTER DISCUSSIONS MEAN BETTER PRACTICE. Inspire curiosity and creativity while motivating people to keep improving – DOWNLOAD IT NOW! Looking for something different in a speech therapy app? We offer a wide range to choose from. Find the right one for you at tactustherapy.com/find