Assessment ToolsEducational PsychologyPsychometrics

Teachers Involving Parents (TIP)

An in-depth academic examination of the Teachers Involving Parents (TIP) scale, covering its theoretical foundations in the Hoover-Dempsey & Sandler model, psychometric properties, factor structure, and authentic items.

memjavad
PUBLISHED
Scientifically Reviewed · Dr. Marwa Abd-Alazim · September 25, 2026
Medically & Scientifically Reviewed Verified: September 25, 2026
Dr. Marwa Abd-Alazim Ph.D.
Professor of Psychology • University of Kerbala
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This content undergoes rigorous scientific peer-review and medical editorial standards at Arab Psychology Network to ensure clinical accuracy, validity, and compliance with evidence-based guidelines from leading psychological and healthcare authorities (APA / WHO).

Abstract

The Teachers Involving Parents (TIP) scale is a specialized psychometric assessment instrument designed to measure educators' beliefs, self-efficacy, perceptions, and instructional practices regarding family engagement in school settings. Developed primarily within the research framework of Kathleen V. Hoover-Dempsey, Howard M. Sandler, Joan M. T. Walker, and colleagues at Vanderbilt University's Peabody College, the instrument operationalizes key teacher-level determinants within the multi-level Hoover-Dempsey and Sandler model of parental involvement. The comprehensive battery comprises several coordinated subscales: Teacher Beliefs about Parental Involvement, Teacher Self-Efficacy for Teaching, Teacher Beliefs about Parents' Efficacy for Helping Children Succeed, Teacher Beliefs about the Importance of Parent Involvement Practices, Teacher Reports of Parent Involvement, and Teacher Report of Invitations to Parental Involvement. Across these dimensions, the tool captures both general psychological orientations (such as teaching efficacy and parent-partnership ideology) and behavioral invitations across Epstein's typologies of home-school collaboration. Administered typically via 6-point Likert-type response formats (ranging from 1 = disagree very strongly to 6 = agree very strongly for cognitive-affective dimensions, and distinct frequency or percentage estimation scales for behavioral metrics), the instrument demonstrates robust psychometric properties. Validation studies across diverse elementary and secondary school contexts report high internal consistency reliabilities, with Cronbach's alpha coefficients typically ranging between .72 and .88 across subscales. Exploratory and confirmatory factor analyses confirm distinct, multidimensional factor structures that separate personal teaching efficacy from contextual invitations and general partnership beliefs. The TIP scale serves as an indispensable tool for educational researchers, school psychologists, organizational consultants, and district administrators seeking to evaluate educator readiness, diagnose home-school communication barriers, and assess the efficacy of targeted family-school partnership interventions.

Keywords

Teachers Involving Parents, TIP Scale, Parental Involvement, Teacher Self-Efficacy, Home-School Collaboration, Hoover-Dempsey and Sandler Model, Educational Measurement, Teacher Beliefs, School Partnerships, Family Engagement, Psychometrics

Authors

The conceptualization and empirical development of the Teachers Involving Parents (TIP) assessment tools emerged from the collaborative research program led by Dr. Kathleen V. Hoover-Dempsey, Dr. Howard M. Sandler, and Dr. Joan M. T. Walker, operating in conjunction with the Family-School Partnership Lab at the Department of Psychology and Human Development, Peabody College of Education and Human Development, Vanderbilt University.

Kathleen V. Hoover-Dempsey, Ph.D., is an Emerita Associate Professor of Psychology and Human Development at Peabody College, Vanderbilt University. Her foundational scholarship revolutionized the field of home-school relations by shifting inquiry from purely demographic predictors of parent involvement toward psychological and motivational processes. Howard M. Sandler, Ph.D., late Professor of Psychology at Vanderbilt University, was an internationally recognized quantitative psychometrician and developmental psychologist whose methodological rigor shaped the operationalization of family-school partnership dynamics. Joan M. T. Walker, Ph.D., currently Professor of Education at Pace University and former postdoctoral research fellow at Vanderbilt University, contributed extensively to instrument refinement, psychometric scaling, and model revision through empirical field studies.

The research group maintained long-standing collaborative exchanges with the Center on School, Family, and Community Partnerships at Johns Hopkins University, established by Dr. Joyce L. Epstein, ensuring that the behavioral items of the TIP scale accurately reflected contemporary typologies of school outreach and parental pedagogical engagement.

Purpose

The primary purpose of the Teachers Involving Parents (TIP) scale is to systematically assess the psychological, cognitive, and behavioral orientations of classroom teachers toward family-school partnerships. Decades of educational and developmental research have demonstrated that parental involvement is strongly linked to enhanced academic achievement, improved student self-regulation, reduced absenteeism, and more adaptive socioemotional functioning across diverse educational ecosystems. However, the manifestation of parental involvement is neither spontaneous nor uniform; rather, it is powerfully governed by the psychological climate established by classroom educators and school administrators.

The TIP was developed to address critical theoretical and empirical voids in educational assessment. Prior to its construction, existing instruments frequently examined home-school relations exclusively from the parent's vantage point, treating parental behavior as a unilateral choice governed primarily by socio-demographic factors such as socioeconomic status, parental educational attainment, or household composition. The TIP operationalizes the fundamental premise of the Hoover-Dempsey and Sandler model: that teacher beliefs and, crucially, specific teacher invitations to involvement constitute primary, malleable levers that activate parental motivation and role construction.

In clinical, educational, and organizational applications, the TIP scale serves several distinct functions:

  • Diagnostic Assessment in School Improvement Initiatives: The scale enables educational leaders to conduct baseline diagnostics of faculty attitudes, measuring whether teachers hold an asset-based or deficit-oriented view of families (e.g., whether teachers endorse the belief that every family has strengths that can be leveraged for student learning).
  • Evaluation of Professional Development Programs: When schools implement systemic family-engagement interventions, the TIP provides sensitive pre- and post-test metrics to evaluate shifts in teacher efficacy, frequency of communication, and intentionality of outreach.
  • Identification of Institutional and Personal Efficacy Gaps: By segregating personal teaching efficacy from contextual beliefs regarding parents' capacities, the instrument reveals whether educators feel capable of overcoming socio-demographic challenges or whether they perceive their pedagogical influence as severely curtailed by students' home environments.
  • Empirical Research on Mesosystemic Linkages: In developmental and ecological research, the tool provides validated, continuous indicator variables to test structural equation models linking teacher characteristics to parent behaviors and downstream student achievement.

Psychological Construct

The Teachers Involving Parents (TIP) scale does not measure a unidimensional trait; instead, it operationalizes an integrated constellation of sociocognitive constructs that collectively govern an educator's inclination to build collaborative bridges with students' primary caregivers. Grounded in social cognitive theory, the instrument decomposes teacher-family interaction into distinct cognitive-affective and behavioral dimensions:

1. Teacher Beliefs about Parental Involvement

This dimension evaluates the teacher's philosophical endorsement of family engagement as an essential pillar of educational quality and student success. It captures an asset-based orientation toward families, tapping the belief that all parents, regardless of background, possess intrinsic strengths and can acquire effective academic support strategies if provided with appropriate scaffolding by school professionals. Conversely, low scores on this construct reflect educational paternalism or deficit thinking, characterized by the belief that family involvement is tangential, counterproductive, or viable only among highly educated, affluent demographics.

2. Teacher Self-Efficacy for Teaching

Originating from Albert Bandura's self-efficacy theory and adapted through early teacher efficacy frameworks (e.g., Gibson & Dembo), this construct assesses teachers' beliefs in their capabilities to bring about desired student engagement and learning outcomes, even among unmotivated or difficult students. Importantly, within the TIP architecture, this construct captures both personal teaching efficacy (an individual's self-appraisal of their instructional impact) and general teaching efficacy (beliefs regarding the power of education versus the countervailing influences of external factors such as peer culture and impoverished home environments).

3. Teacher Beliefs about Parents' Efficacy for Helping Children

This subscale measures the degree to which teachers perceive parents as capable, competent agents of educational socialization. It assesses whether educators trust that parents possess the knowledge, persistence, and motivational influence necessary to reinforce learning at home. Educators who hold robust beliefs regarding parental efficacy are theoretically far more likely to share instructional responsibilities and maintain open, reciprocal channels of communication with caregivers.

4. Teacher Beliefs about the Importance of Parent Involvement Practices

This component reflects the subjective value or normative importance that educators attach to specific partnership actions. It operationalizes value orientation toward both standard institutional outreach (e.g., holding parent-teacher conferences, issuing progress alerts) and interactive, home-based instructional partnerships (e.g., assigning interactive homework, guiding parents to discuss classroom curricula, suggesting specific home-based cognitive scaffolding techniques).

5. Teacher Reports of Actual Parent Involvement and Outreach Invitations

The behavioral facets of the TIP capture concrete transactions between the microsystems of home and school. The instrument distinguishes between the teacher's perception of the proportion of parents who actively participate across various school and home domains and the frequency of explicit teacher invitations to involvement. In the Hoover-Dempsey and Sandler model, teacher invitations are posited as proximal catalysts: when a teacher actively invites a parent to assist with reading, visit the classroom, or monitor homework, the parent's subjective role construction and self-efficacy are directly energized.

Theoretical Framework

The conceptual architecture of the TIP scale is theoretically anchored in three convergent paradigms of developmental and educational psychology: the Hoover-Dempsey and Sandler Model of the Parental Involvement Process, Social Cognitive Theory, and Ecological Systems Theory.

The Hoover-Dempsey and Sandler Model

The Hoover-Dempsey and Sandler model (1995, 1997, 2005) provides the overarching theoretical framework for the scale. The model structures parental involvement into five hierarchical levels, tracing the pathway from initial parental motivation through to student achievement:

  • Level 1: Motivators of Involvement: Parents' initial decision to become involved is determined by three core psychological constructs: their personal role construction, their sense of efficacy for helping their child, and general and specific invitations to involvement originating from the child, the school, and the classroom teacher. The TIP operationalizes the teacher-driven components of this foundational level.
  • Level 1.5: Contextual Moderators: Parents' specific forms of involvement are shaped by their perceived knowledge, skills, time, and energy. Teacher practices assessed by the TIP—such as providing clear instructions, offering specific activities, and scaffolding interactive homework—directly modulate these caregiver resources.
  • Level 2: Learning Mechanisms: During home-school engagement, parents deploy modeling, reinforcement, scaffolding, and instruction to foster student development.
  • Levels 3 and 4: Child Perceptions and Mediators: Students internalize academic self-efficacy, intrinsic motivation, and self-regulatory strategies.
  • Level 5: Student Outcomes: Resulting in enhanced achievement and positive developmental outcomes.

Within this sequential formulation, teacher practices are not viewed as peripheral; they are conceptualized as the catalytic spark that legitimizes and directs parental agency.

Social Cognitive Theory

Drawing on Albert Bandura's theoretical formulations, the TIP scale incorporates the concept of triadic reciprocal causation, wherein cognitive factors (teacher beliefs, self-efficacy), environmental influences (school institutional climate, family characteristics), and behaviors (invitations, communications) continually interact. A teacher's sense of self-efficacy is posited to determine how much effort they expend in engaging hard-to-reach families and how resilient they remain in the face of communication barriers.

Bronfenbrenner's Ecological Systems Theory

The scale embodies Urie Bronfenbrenner's ecological model of human development, particularly the dynamics of the mesosystem. The mesosystem comprises the linkages and processes taking place between two or more major settings containing the developing person (specifically, the joint functioning of home and school). The TIP measures the thickness and quality of these mesosystemic bridges as engineered by the primary institutional representative: the classroom teacher.

Validity

The psychometric validity of the Teachers Involving Parents (TIP) scale has been established through multiple lines of empirical evidence across diverse educational research projects.

Construct and Structural Validity

Extensive factor-analytic investigations by Hoover-Dempsey, Sandler, Walker, and colleagues confirm that the subscales demonstrate distinct structural validity. Items designed to tap personal teaching efficacy load cleanly on separate latent factors from items assessing external locus of control or environmental constraints (e.g., items stating that student motivation depends almost entirely on the home environment or peer influences). Similarly, scales assessing beliefs about parent efficacy factor out from scales measuring specific teacher invitations to involvement. Inter-factor correlations among subscales are moderate (.25 < r < .55), confirming that the dimensions represent related yet non-redundant educational and psychological constructs.

Convergent and Discriminant Validity

Convergent validity is supported by strong, statistically significant correlations between the TIP subscales and conceptually aligned measures:

  • Teacher self-efficacy subscales within the TIP correlate significantly (r = .52 to .68, p < .001) with established general teacher efficacy measures, including the Gibson and Dembo Teacher Efficacy Scale and the Ohio State Teacher Efficacy Scale (Tschannen-Moran & Hoy).
  • Teachers' reported frequency of invitations to parental involvement correlates positively with independent parent reports of teacher outreach (r = .38 to .49, p < .01), demonstrating cross-informant convergence.
  • Discriminant validity is evidenced by weak, non-significant correlations with unrelated teacher characteristics such as overall years of tenure in district or non-educational social desirability scales (r < .15).

Criterion-Related and Predictive Validity

The TIP scale exhibits notable predictive utility within structural equation modeling (SEM) frameworks. Longitudinal and cross-sectional investigations show that:

  • High scores on Teacher Report of Invitations to Parental Involvement significantly predict parent involvement in home-based educational activities (β = .34, p < .01) and school-based events (β = .41, p < .001), after controlling for parent socio-economic status.
  • High teacher endorsement of parent efficacy and strong teacher personal efficacy prospectively predict closer parent-teacher alignment on student behavioral expectations and subsequent student academic gains in literacy and mathematics across elementary cohorts.

Reliability

The reliability of the TIP instrument has been extensively documented across multiple empirical samples encompassing elementary, middle, and high school instructional staff.

Internal Consistency

Internal consistency estimates, assessed via Cronbach's alpha and composite reliability (ρ), consistently surpass traditional psychometric benchmarks for behavioral research (α ≥ .70):

  • Teacher Beliefs about Parental Involvement: Across validation samples, Cronbach's alpha coefficients range from .78 to .85, demonstrating high homogeneity among items assessing the institutional and developmental necessity of family engagement.
  • Teacher Self-Efficacy for Teaching: Composite alpha values range from .74 to .82 across diverse cohorts. When split into sub-dimensions (personal efficacy vs. external constraints), internal consistency remains stable (.72 to .79).
  • Teacher Beliefs about Parents' Efficacy: Demonstrates alpha coefficients ranging from .76 to .83.
  • Teacher Beliefs about the Importance of Practices: The 16-item importance inventory routinely exhibits high internal consistency, with alpha coefficients between .86 and .91.
  • Teacher Report of Invitations to Parental Involvement: The behavioral frequency subscale routinely produces alpha values between .84 and .89.

Test-Retest Stability and Measurement Error

In stability studies assessing test-retest reliability over a 4-to-6-week window in non-interventional control schools, intraclass correlation coefficients (ICCs) and Pearson correlation coefficients ranged from .71 to .84, demonstrating acceptable temporal stability for cognitive belief structures. The standard error of measurement (SEM) remains low across all primary subscales, ensuring reliable discriminative capacity when evaluating educational cohorts.

Factor Analysis

The latent structure of the TIP battery has been scrutinized via exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) utilizing maximum likelihood and robust weighted least squares (WLSMV) estimation to accommodate ordered categorical Likert data.

Exploratory Factor Structure

Initial exploratory factor analyses utilizing principal axis factoring with promax (oblique) rotation across the subscales verified multidimensionality:

  • Within the Teacher Self-Efficacy for Teaching scale, EFA consistently reveals a two-factor solution accounting for approximately 48% to 54% of total variance: Factor 1 represents Personal Teaching Efficacy and Positive Impact (characterized by high positive loadings for items reflecting instructional success and reaching difficult students), while Factor 2 captures External/Environmental Constraints on Influence (marked by items emphasizing the overriding influence of the home environment and peer groups).
  • Within the Teacher Beliefs about Parental Involvement scale, a dominant single factor accounts for the majority of the variance, with item factor loadings ranging from .46 to .78.

Confirmatory Factor Analysis Fit Indices

Subsequent confirmatory factor analyses on multi-site samples (e.g., Hoover-Dempsey et al., 2002; Walker et al., 2005) have supported the hypothesized multidimensional models. Standard goodness-of-fit metrics satisfy conventional criteria for acceptable model fit:

  • Comparative Fit Index (CFI): Ranges between .91 and .96 across subscale models.
  • Tucker-Lewis Index (TLI): Consistently exceeds .90.
  • Root Mean Square Error of Approximation (RMSEA): Estimates range from .045 to .062 (with 90% confidence intervals bounded below .08).
  • Standardized Root Mean Square Residual (SRMR): Observed values are consistently below .06.

Parameter loadings for all target indicators are statistically significant (p < .001) and standardized loadings generally exceed .50, supporting the construct representation of the battery.

Instrument / Measurement Tool

The complete Teachers Involving Parents (TIP) diagnostic system is a multi-part teacher-report inventory designed for paper-and-pencil or secure digital administration. Below is a structured psychometric summary of the measurement battery:

  • Instrument Name: Teachers Involving Parents (TIP) Scale (also cited as the Teacher Scales of the Hoover-Dempsey & Sandler Parental Involvement Model).
  • Target Population: Pre-kindergarten, elementary, middle, and high school certified teachers, specialist educators, and instructional personnel.
  • Administration Format: Self-administered survey (paper-and-pencil or computerized web interface).
  • Estimated Completion Time: Approximately 15 to 25 minutes for the full multi-scale battery; individual modular subscales take 3 to 5 minutes each.
  • Subscale Breakdown:
    • Teacher Beliefs about Parental Involvement Scale: 8 items.
    • Teacher Self-Efficacy for Teaching Scale: 12 items.
    • Teacher Beliefs about Parents' Efficacy for Helping Children Succeed in School: 7 items.
    • Teacher Beliefs about the Importance of Parent Involvement Practices: 16 items.
    • Teacher Reports of Parent Involvement: 14 behavioral estimation items plus 1 global confidence rating.
    • Teacher Report of Invitations to Parental Involvement: 16 behavioral frequency items.
  • Response Formats:
    • Beliefs & Efficacy Scales: 6-point Likert scale (1 = disagree very strongly, 2 = disagree, 3 = disagree just a little, 4 = agree just a little, 5 = agree, 6 = agree very strongly).
    • Importance of Practices Scale: 6-point Likert scale (1 = not at all important, 2 = not important, 3 = not very important, 4 = somewhat important, 5 = important, 6 = very important).
    • Reports of Parent Involvement: 6-point percentage scale (1 = none, 2 = 10–25%, 3 = 30–45%, 4 = 55–70%, 5 = 75–90%, 6 = all) accompanied by a 4-point confidence rating (completely confident, pretty confident, just somewhat confident, not very confident).
    • Report of Invitations Scale: 6-point ordinal frequency scale (1 = never, 2 = once this year, 3 = once each semester, 4 = once a month, 5 = once every 1–2 weeks, 6 = 1+ time(s) each week).
  • Scoring Procedures:
    • Subscale scores are typically computed as the mean of completed items within each specific subscale, preserving the intuitive 1-to-6 metric for interpretation.
    • Reverse Scoring: Negative or constraint-focused items (e.g., Teacher Self-Efficacy items 3, 5, 6, 8, 9, 10, 11, 12, and Parent Efficacy items 2, 5) must be reverse-coded (6 → 1, 5 → 2, 4 → 3, 3 → 4, 2 → 5, 1 → 6) prior to computing composite positive efficacy indices, or retained as a separate "External Constraints" factor depending on the research model.
    • Missing data handling: Mean imputation or full information maximum likelihood (FIML) is recommended when missingness is below 10–15%.

Permissions & Fee and Test Year

The core subscales comprising the Teachers Involving Parents (TIP) measurement battery were developed and refined between 1995 and 2005 through research projects funded in part by the Institute of Education Sciences (IES) and the Spencer Foundation. Key milestones include the foundational conceptualization published in 1995/1997 and the comprehensive psychometric revision and scale development documentation released in 2002 and 2005 (e.g., Hoover-Dempsey et al., 2002, 2005; Walker et al., 2005).

Copyright and Licensing: The scales developed by the Vanderbilt Family-School Partnership Lab were placed in the public domain for educational, non-commercial research, and institutional evaluation purposes. Researchers and practitioners may administer, adapt, and analyze the scales without paying licensing fees, provided that appropriate scholarly attribution is accorded to Dr. Kathleen V. Hoover-Dempsey, Dr. Howard M. Sandler, Dr. Joan M. T. Walker, and their co-investigators in any resulting reports or publications. Commercial reproduction, inclusion in paid software assessment suites, or unauthorized resale requires explicit written permission from the copyright holders and the Peabody College Office of Research at Vanderbilt University.

References

Below is a curated selection of foundational literature and psychometric validation studies supporting the TIP scale and its theoretical framework:

  • Bandura, A. (1997). Self-efficacy: The exercise of control. W. H. Freeman and Company. https://psycnet.apa.org/record/1997-08589-000
  • Bronfenbrenner, U. (1979). The ecology of human development: Experiments by nature and design. Harvard University Press. https://www.hup.harvard.edu/books/9780674224575
  • Epstein, J. L. (1995). School/family/community partnerships: Caring for the children we share. Phi Delta Kappan, 76(9), 701–712. https://www.jstor.org/stable/20405445
  • Hoover-Dempsey, K. V., & Sandler, H. M. (1995). Parent involvement in children's education: Why does it make a difference? Teachers College Record, 97(2), 310–331. https://doi.org/10.1177/016146819509700202
  • Hoover-Dempsey, K. V., & Sandler, H. M. (1997). Why do parents become involved in their children's education? Review of Educational Research, 67(1), 3–42. https://doi.org/10.3102/00346543067001003
  • Hoover-Dempsey, K. V., Walker, J. M. T., Jones, K. P., & Reed, R. P. (2002). Teachers Involving Parents (TIP): An in-service teacher education program for enhancing parental involvement. Peabody College, Vanderbilt University.
  • Hoover-Dempsey, K. V., Walker, J. M. T., Sandler, H. M., Whetsel, D., Green, C. L., Wilkins, A. S., & Closson, K. (2005). Why do parents become involved? Research findings and implications. The Elementary School Journal, 106(2), 105–130. https://doi.org/10.1086/499194
  • Tschannen-Moran, M., & Woolfolk Hoy, A. (2001). Teacher efficacy: Capturing an elusive construct. Teaching and Teacher Education, 17(7), 783–805. https://doi.org/10.1016/S0742-051X(01)00036-1
  • Walker, J. M. T., Wilkins, A. S., Dallaire, J. R., Sandler, H. M., & Hoover-Dempsey, K. V. (2005). Parental involvement: Model revision through scale development. The Elementary School Journal, 106(2), 85–104. https://doi.org/10.1086/499193

Items of the Scale

Below are the authentic scale items in their original language as published in the standard psychometric validation studies, without modification or translation to preserve instrument validity and reliability:

Response Anchors:

For cognitive belief and efficacy items (Items 1–12):
1 = Disagree very strongly | 2 = Disagree | 3 = Disagree just a little | 4 = Agree just a little | 5 = Agree | 6 = Agree very strongly

For behavioral practice and invitation items (Items 13–16):
1 = Not at all important / Never | 2 = Not important / Once this year | 3 = Not very important / Once each semester | 4 = Somewhat important / Once a month | 5 = Important / Once every 1-2 weeks | 6 = Very important / 1+ time(s) each week

  1. Parent involvement is important for a good school.
  2. Most parents know how to help their children with schoolwork at home.
  3. Every family has some strength that can be tapped to increase student success in school.
  4. All parents could learn ways to help their children with schoolwork at home, if shown how.
  5. Parent involvement can help teachers be more effective with more students.
  6. Parents of children at this school want to be involved more than they are.
  7. Parent involvement is important for student success in school.
  8. This school views parents as important partners.
  9. I feel as though some of my students are not making any academic progress.
  10. My students' peers influence their motivation more than I do.
  11. Most of a student's performance depends on the home environment, so I have limited influence.
  12. My students' peers influence their academic performance more than I do.
  13. Inviting my students’ parents to visit my classroom.
  14. Asking my students’ parents to take the child to the library or community events.
  15. Giving parents ideas to help them become effective advocates for their children.
  16. Sending home ‘letters’ telling parents what the children have been learning and doing in class.
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memjavad (2026, September 25). Teachers Involving Parents (TIP). PSYCHOLOGICAL DATABASE. https://en.arabpsychology.com/scales/teachers-involving-parents-tip-scale/
memjavad. “Teachers Involving Parents (TIP).” PSYCHOLOGICAL DATABASE, 25 September 2026, https://en.arabpsychology.com/scales/teachers-involving-parents-tip-scale/.
memjavad. “Teachers Involving Parents (TIP).” PSYCHOLOGICAL DATABASE. September 25, 2026. https://en.arabpsychology.com/scales/teachers-involving-parents-tip-scale/.