Implementation

PD On Demand

Overview

Conceptua Math content is initially displayed by domain, either Fractions or Multiplication and Division. Once a teacher is signed in, the content is also viewable by grade. When viewed or assigned by a domain, the content is shown by the "Big Idea" that the unit reflects. When viewed as a grade level scope and sequence, the content is shown as Units. Having two views for content provides an added measure of flexibility and adds value for accessing content. Teachers following the grade level scope and sequence can easily work from the grade level view. On the other hand, teachers working with students out of grade level can assign lessons that are not noted on the student screen by grade level but are instead noted by “Big Idea.”

Organization of Conceptua Math Units >

In CM, Units and Big Ideas are organized into Topics and Lessons are a subset of Topics. Teachers can see the number and names for each lesson on the Teacher Dashboard. In addition to skills based lessons, each Unit or Big Idea contains Tool Investigations, Real World Investigations and content free Tools for teachers and students.


fractions modules

Overview

The Class Dashboard is where teachers spend the most time in Conceptua Math. It gives teachers the ability to preview any or all parts of a lesson sequence, assign lessons and track student progress. The decisions made in the Assignments tab impact what is displayed in the "Topic/Lesson" and "Investigations and Tools" tabs. Students must be assigned either a topic or lesson in order to begin working in Conceptua Math.

Overview

 

The Lesson Opener is a sequence of online screens displayed to the group in which the teacher uses on-screen prompts to guide a 10-minute discussion and prepare students for successful learning in the Guided Lesson. Engaging students in an activity or discussion provides an opportunity to set the purpose for the lesson and develop the necessary understandings for success in guided or independent practice. When done well, the Opener also drives student engagement, interest, and participation for everyone in the class. Explore the tabs on the left to learn about how to use Openers, instructional strategies, and research sources.

 

Goals of the Opener

  • To hook - Gain students’ attention and grab their interest in the lesson content.
  • To link - Activate prior knowledge, and connect that knowledge to new learning in the lesson.
  • To facilitate discourse - Elicit specific strategies and highlight relationships.
  • To state learning outcomes - Help students be more efficient learners by focusing them on what they are supposed to learn.

Why Use the Conceptua Math Opener

Leading mathematical discussions can be challenging. It can be difficult to meaningfully engage all students while introducing key vocabulary and linking new content to previous learning. The Conceptua Math Opener assists the teacher in delivering an effective opener by providing a set of carefully selected examples that supports the introduction of new content, skills, and vocabulary. This premade online opener engages students through the use of interactive visual models, while supporting teachers in facilitating conversation using rich mathematical language. Upon completion, students know what they are going to learn and teachers are confident that they have facilitated student use of the Standards for Mathematical Practice.
 

Openers in Action (Examples)

The following in-class videos show Conceptua Math Openers in real-life situations. The first four videos are spontaneous, and demonstrate the vital nature of classroom discourse while revealing some student misconceptions.

Opener Video 1

Remarkable interaction between two students that demonstrates "adding on." The topic is skip counting in multiplication. [3:05]


Opener Video 2

Students make a human number line of 1/4 and 1/2. Misconceptions are revealed and resolved. [2:32]


Opener Video 3

See a student-to-student discussion regarding the relationship between 1/8 and 1/4. [1:36]


Opener Video 4

Students discuss hundredths on a number line, comparing 25/100 to 1/4. [4:57]


Opener Video 5

An overview of the Opener process, showing Think, Pair, and Share. [2:02]

Overview

The Guided Lesson is an online 8-15 minute session in which students work individually, receiving instruction and practice utilizing interactive visual models, numbers and operations while the teacher circulates and provides support. Guided instruction is a structure for teaching in which the student is supported through increasing levels of difficulty as they develop proficiency in a concept or skill. Often guided instruction is conducted in small flexible groupings, based on performance data, in which the teacher focuses on a particular concept, strategy or skill. Guided lessons are typically short, contain scaffolding and provide immediate feedback so students gain intended learning outcomes.

Goals of the Guided Lesson >

  • To build conceptual understanding and procedural fluency - Each lesson has a highly scaffolded sequence of screens. The content moves from concrete to representational to abstract.
  • To build confidence - Each lesson progresses gradually to help learners make progress.
  • To let students learn at their own pace - A student completes a Guided Lesson at his or her own pace.
  • To provide strategic feedback - A student sees visual cues, reads text, and listens to auditory screen reading.
  • To encourage perseverance - A student must successfully complete a problem before moving to the next problem. Students succeed by using self-correction, the program’s strategic feedback, and teacher support.
  • To check for understanding - Each lesson ends with a Skills Check (formative assessment).
Why use the Conceptua Math Guided Lesson >

Conceptua Math lessons use a variety of visual models that build conceptual understanding through a deliberate instructional sequence. Students are supported as they move from virtual manipulatives to number sentences and equations, building conceptual understanding and procedural fluency. The teacher engages students in mathematical discourse during the Guided Lesson. The lesson plan provides sample questions. These discussions between teacher and students during the Guided Lesson reinforce the Standards for Mathematical Practice. They emphasize strategies, reasoning, modeling, and perseverance to understand and solve problems.


Adaptive Teaching >

A Window into Student Thinking

Adaptive teaching draws upon the teacher’s insightfulness and judgment. Each one-minute visit begins when a student raises their hand after failing a skills check. The formative assessment screen allows the teacher to easily view the student’s actual answers (see graphic) and gain a window into the student’s thought process. The teacher has an opportunity to engage the student in a discussion to identify what is impeding the student’s success and prescribe the appropriate remediation lesson.

common core math

The Adaptive Teaching Screen

For each and every lesson, Conceptua Math provides three remediation options, on the spot:


Blue Arrow The “More” lesson gives the student another try with different examples.
Yellow Arrow The “Remedial” lesson covers the same content but with more visual and verbal support.
Purple Arrow The “Preskill” lesson is appropriate if the student has a misconception and needs to revisit prior content before returning to try this lesson again.

By choosing from these three different remediation options, teachers are able to differentiate and personalize with ease.

Remediation Options

Overview

The Lesson Closer is a sequence of online screens displayed to a class or group in which the teacher uses on-screen prompts to guide a 5 minute discussion to summarize the lesson. A good lesson ends with a teacher-directed closer. A good closer is not simply stating what has been taught in a lesson, but rather, it requires the student to reflect, summarize, articulate and demonstrate what has been learned. Effective lesson closers are student-centered, requiring students to share thinking through additional practice, discussion or problem solving while permitting the teacher to identify if students have mastered the learning outcome of the lesson. The teacher can then determine if students require re-teaching or if they are ready to move on to the next lesson.

Goals of the Lesson Closer >

Why Use the Conceptua Math Closer >



Video: Overview of Lesson Closer >



Lesson Opener
Teachers deliver closers to help students summarize and check for understanding.

Overview

Real World Investigations are powerful and engaging learning experiences where students learn about the mathematics in their world. These activities consist of 3 parts, each requiring a more in-depth application of learning as students move from analysis of provided data to integration of their own data from the real world. All Investigations are freely available at the bottom of each topic page within the Curriculum Library.

Providing students with divergent problems that can be solved in different ways encourages creative reasoning, and offers an opportunity for students to challenge assumptions while explaining and connecting mathematical concepts. Students use their own data, linking mathematics to experiences that are relevant and real.
 


Video: Introduction to Real World Investigations
 

Tiers:

  • Tier 1 – All data provided. Students learn a heuristic model.
  • Tier 2 – Some data provided. Students add some of their own content.
  • Tier 3 – Students provide all data, taken from their own lives, imaginations, and research.

Real World Investigations support all the Standards for Mathematical Practice:

  • SMP 1: Make sense of problems and persevere in solving them.
  • SMP 2: Reason abstractly and quantitatively.
  • SMP 3: Construct viable arguments and critique the reasoning of others (if students share and discuss solutions).
  • SMP 4: Model with mathematics.
  • SMP 5: Use appropriate tools strategically.
  • SMP 6: Attend to precision.
  • SMP 7: Look for and make use of structure.
  • SMP 8: Look for and express regularity in repeated reasoning.

Overview

Differentiated instruction is a philosophy of teaching based on the belief that all students have the capacity to learn and that it is the teacher’s role to adapt instruction to match students’ differences so learning occurs. Similar to the philosophy of universal design for learning (UDL), the design of curricula considers the needs of a wide range of learners rather than remediating or re-teaching after instruction proves unsuccessful. There are many barriers to learning that can be mitigated when the instructional design attends to readiness levels, language needs, learning and accessibility needs.

How Conceptua Math Helps All Students Achieve

Conceptua Math content is designed to address a variety of instructional settings and learner differences. Built in features provide teachers with the ability to adjust the instructional level prior to, during and after students complete a Guided Lesson. Features within the Guided Lesson address a variety of student learning preferences and abilities. Students with a wide range of abilities, disabilities, and learning styles can all work within the same classroom environment or, if needed, can be supported using Response to Intervention (RtI) instructional tiers.

Program Features to Support ELL Students >
  • Content organization is focused on essential learning outcomes through big ideas and key concepts.
  • Content is presented using visual, textual, and auditory modes of instruction and practice.
  • Controlled math vocabulary that is carefully and systematically introduced.
  • Simple, intuitive screen design with limited screen text and text-to-speech features.
  • Important opportunities for mathematical discourse during Lesson Openers and Closers.
  • Self-paced Guided Lessons, allowing ELL students as much processing time as they need to understand the language of the mathematical activities.


Program Features to Support Students with Special Needs >

Conceptua Math uses methods of instruction shown to be effective for students with special needs. With appropriate supports, many students with disabilities can participate in the general education environment. Conceptua Math supports inclusion in the least restrictive environment:

  • The Lesson Sequence and Tools enable an explicit systematic instruction format.
  • Modeling, prompting, text-to-speech and accessibility features scaffold and support independent learning throughout the Guided Lesson.
  • The Guided Lesson structure enables one-on-one diagnostic conferencing and remediation.
  • The Class Dashboard enables customized assignments.
  • Sample IEP Goals are available for every topic.
  • Daily Skills Checks support progress monitoring.
  • Units follow a concrete to representational to abstract (CRA) instructional design proven to be successful for students with learning disabilities.
  • Guided Lessons require active participation resulting in high levels of engagement, which has been shown to lead to improved performance.
  • Strategic feedback, modeling and text-to-speech features encourage independence and a reduction in learned helplessness.
  • The Student Dashboard supports self-monitoring and self-evaluation.
  • The features of Universal Design for Learning are integrated into the content.

Frequently Asked Questions

Answers to questions regarding sign-in, settings and dashboard issues.

Pilot Video Tutorial

Sign-in

Settings

Class Management

Dashboard - Assignments

Dashboard - Student Progress



Sign-in
Why can't I sign in?
Teacher Sign in and Student Sign in: All fields, Customer, Sign-in name and Password are required and case-sensitive.

What if I've forgotten my password?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click 'password' in the PLEASE SIGN IN dialog
  • Enter your Customer and Sign-in name in the PASSWORD RESET dialog
  • Check your email and click on the link to reset your password
  • Check your email again and get your new password
Video: How to Sign-In

User Settings
How do I change my password? 
  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Management button
  • Click on the Settings link in the upper right corner
  • Check Change password in the USER PROPERTIES dialog 
  • Enter current password and then new password twice.


How can I change my sign-in name?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Management button
  • Click on the Settings link in upper right corner, and replace Sign-in name.
    [Note: If your district is auto-updating its roster daily then your changes will be overwritten and this method will not work for you.]


What if my student forgot their password?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Management button
  • Click on My Classes
  • Select the class and the student and click the Student Properties button
  • Check Change password in User Properties dialog box.
    [Note: If your district is auto-updating its roster daily then your changes will be overwritten and this method will not work for you.]


Class Management
How do I add a student to my class?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Management button
  • Click on My Classes, and select your class
  • Click the Class Enrollment button
  • You can enroll students from the "Available" list on left.


How do I remove a student from my class?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Management button
  • Click on My Classes, and select your class
  • Click the Class Enrollment button
  • You can enroll students from the "Enrolled" list on the right.


Dashboard - Assignments
How do I assign a topic or lesson to my class?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Assignments button
  • Click the Add Assignment button, and select the new Topic or Lesson from the ADD ASSIGNMENT dialog
  • Click the green Assign Topic or Assign Lesson button.
  • In the CONFIRM TOPIC OR LESSON ASSIGNMENT dialog, choose either “work on this after…” or “work on this immediately”, then click the green Confirm Assign button..


How can I tell what topics or lessons have already been assigned to my class?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Assignments button
  • The List of Assignments is found under the heading Assignments.


How do I assign a lesson to a particular student?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Class Data button
  • Click on the student name
  • In the Progress Details dialog, click the Class Assignment... button, and select from the assigned topics and lessons. 
  • Click OK and then OK


Dashboard - Student Progress
How do I see student data on my dashboard?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click Class Data. [Note that the Unit for the last assigned topic is shown in the dropdown above the grid. Change the drop down selection to see progress in any unit that has been assigned.]

I can't see all of the students in my class. The last students listed are not showing up. Why?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Class Data button
  • Ctrl and + to zoom in and Ctrl and - to zoom out (Mac: Cmd and + to zoom in and Cmd and - to zoom out). [Note: There may be other browser specific or computer specific causes for this. These need to be addressed individually by the IT department of the district or school.] 


How can I review a student’s Skills Check answers from my dashboard?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Class Data button
  • Click on student name
  • In the Progress Details dialog, select the desired lesson
  • Click the Review button


What is the Individual Track?

  • The individual track is for students who require assignments that are contained in a different Unit than the one assigned to the class. Unlike a class assignment, the individual track is a way to assign an entire Unit. It does not require the teacher to assign each topic separately. Students in an individual track should receive a lesson opener and support as they work independently within lessons.


How do I assign a student an individual track?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Class Data button
  • Click on the name of the student who will require an individual track
  • In the Progress Details dialog, click on the Individual Track… button
  • Select the Grade Level or Domain in the drop down menu
  • Click on the Unit, then Topic, then Lesson where the student is to begin the individual track
  • Click OK and then OK
  • Note in the Progress view of Class Data that the squares for that particular student and unit will be shaded yellow indicating that the entire Unit has been assigned


How do I move a student forward and why might I want to do so?

  • You may choose to move a student past a lesson in which the student has had a number of failures. For example, the student may have failed the standard lesson and failed either one or both pre-skills. You may decide that a particular skill can be remediated at a later date or simultaneously as a student moves along with the rest of the class. Note that moving a student past a skill does not ensure that the skill will be mastered in later lessons. This action can also be done from the student’s “Adaptive Teaching” screen at the end of a Guided Lesson.


How do I move a student past a failed lesson using the Teacher Dashboard?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Class Data button
  • Click on the name of the student who will be moved
  • In the Progress Details dialog, click on the Class Assignment... button
  • Select the lesson in the instructional sequence that follows the failed lesson
  • Click OK and then OK
  • The black dot appears in the box for any lesson the student did not pass and indicates that the student was manually moved to the next lesson in the instructional sequence.


My class will be starting a new unit and all students need to be assigned to a new topic or lesson without regard to their present progress. How do I do that?

  • Sign in to the Teacher Dashboard using the Teacher Sign In link
  • Click the Class Dashboard button
  • Select the desired class from the dropdown menu
  • Click the Assignments button
  • Click the Add Assignment button and select the new Topic or Lesson from the ADD ASSIGNMENT dialog
  • Click the green Assign Topic or Assign Lesson button
  • In the CONFIRM TOPIC OR LESSON ASSIGNMENT dialog, select “work on this immediately”, then click the green Confirm Assignment button.